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Finding the Fourth Proportional to 1,110.17, 1,532.18 and 644.42

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Solution

The fourth proportional to 1,110.17, 1,532.18 and 644.42 is: 889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.17 : 1,532.18 = 644.42 : x
  2. Step 2: Convert to fraction form
    1,110.17/1,532.18 = 644.42/x
  3. Step 3: Cross multiply
    1,110.17x = 1,532.18 × 644.42
  4. Step 4: Simplify right side
    1,110.17x = 987,367.44
  5. Step 5: Solve for x
    x = 987,367.44/1,110.17
  6. Step 6: Final answer
    x = 889.38

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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.