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Finding the Fourth Proportional to 1,110.51, 1,532.25 and 644.76

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Solution

The fourth proportional to 1,110.51, 1,532.25 and 644.76 is: 889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.51 : 1,532.25 = 644.76 : x
  2. Step 2: Convert to fraction form
    1,110.51/1,532.25 = 644.76/x
  3. Step 3: Cross multiply
    1,110.51x = 1,532.25 × 644.76
  4. Step 4: Simplify right side
    1,110.51x = 987,933.51
  5. Step 5: Solve for x
    x = 987,933.51/1,110.51
  6. Step 6: Final answer
    x = 889.62

Related Problems

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Half scale
Find fourth proportional to 2,221.02, 3,064.50 and 1,289.52
Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.