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Finding the Fourth Proportional to 1,122.76, 1,549.31 and 644.23

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Solution

The fourth proportional to 1,122.76, 1,549.31 and 644.23 is: 888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.76 : 1,549.31 = 644.23 : x
  2. Step 2: Convert to fraction form
    1,122.76/1,549.31 = 644.23/x
  3. Step 3: Cross multiply
    1,122.76x = 1,549.31 × 644.23
  4. Step 4: Simplify right side
    1,122.76x = 998,111.98
  5. Step 5: Solve for x
    x = 998,111.98/1,122.76
  6. Step 6: Final answer
    x = 888.98

Related Problems

Find fourth proportional to 561.38, 774.66 and 322.12
Half scale
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Double scale
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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.