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Finding the Fourth Proportional to 531.27, 791.52 and 505.13

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Solution

The fourth proportional to 531.27, 791.52 and 505.13 is: 752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.27 : 791.52 = 505.13 : x
  2. Step 2: Convert to fraction form
    531.27/791.52 = 505.13/x
  3. Step 3: Cross multiply
    531.27x = 791.52 × 505.13
  4. Step 4: Simplify right side
    531.27x = 399,823.74
  5. Step 5: Solve for x
    x = 399,823.74/531.27
  6. Step 6: Final answer
    x = 752.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.