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Finding the Fourth Proportional to 732.55, 1,010.67 and 522.76

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Solution

The fourth proportional to 732.55, 1,010.67 and 522.76 is: 721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.55 : 1,010.67 = 522.76 : x
  2. Step 2: Convert to fraction form
    732.55/1,010.67 = 522.76/x
  3. Step 3: Cross multiply
    732.55x = 1,010.67 × 522.76
  4. Step 4: Simplify right side
    732.55x = 528,337.85
  5. Step 5: Solve for x
    x = 528,337.85/732.55
  6. Step 6: Final answer
    x = 721.23

Related Problems

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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.