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Finding the Fourth Proportional to 523.53, 781.19 and 511.18

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Solution

The fourth proportional to 523.53, 781.19 and 511.18 is: 762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.53 : 781.19 = 511.18 : x
  2. Step 2: Convert to fraction form
    523.53/781.19 = 511.18/x
  3. Step 3: Cross multiply
    523.53x = 781.19 × 511.18
  4. Step 4: Simplify right side
    523.53x = 399,328.70
  5. Step 5: Solve for x
    x = 399,328.70/523.53
  6. Step 6: Final answer
    x = 762.76

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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.