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Finding the Fourth Proportional to 524.91, 781.19 and 505.47

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Solution

The fourth proportional to 524.91, 781.19 and 505.47 is: 752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.91 : 781.19 = 505.47 : x
  2. Step 2: Convert to fraction form
    524.91/781.19 = 505.47/x
  3. Step 3: Cross multiply
    524.91x = 781.19 × 505.47
  4. Step 4: Simplify right side
    524.91x = 394,865.58
  5. Step 5: Solve for x
    x = 394,865.58/524.91
  6. Step 6: Final answer
    x = 752.25

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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.