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Finding the Fourth Proportional to 531.54, 731.97 and 505.62

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Solution

The fourth proportional to 531.54, 731.97 and 505.62 is: 696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.54 : 731.97 = 505.62 : x
  2. Step 2: Convert to fraction form
    531.54/731.97 = 505.62/x
  3. Step 3: Cross multiply
    531.54x = 731.97 × 505.62
  4. Step 4: Simplify right side
    531.54x = 370,098.67
  5. Step 5: Solve for x
    x = 370,098.67/531.54
  6. Step 6: Final answer
    x = 696.28

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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.