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Finding the Fourth Proportional to 531.27, 732.56 and 435.15

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Solution

The fourth proportional to 531.27, 732.56 and 435.15 is: 600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.27 : 732.56 = 435.15 : x
  2. Step 2: Convert to fraction form
    531.27/732.56 = 435.15/x
  3. Step 3: Cross multiply
    531.27x = 732.56 × 435.15
  4. Step 4: Simplify right side
    531.27x = 318,771.31
  5. Step 5: Solve for x
    x = 318,771.31/531.27
  6. Step 6: Final answer
    x = 600.02

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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.