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Finding the Fourth Proportional to 523.44, 781.11 and 468.76

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Solution

The fourth proportional to 523.44, 781.11 and 468.76 is: 699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 781.11 = 468.76 : x
  2. Step 2: Convert to fraction form
    523.44/781.11 = 468.76/x
  3. Step 3: Cross multiply
    523.44x = 781.11 × 468.76
  4. Step 4: Simplify right side
    523.44x = 366,153.12
  5. Step 5: Solve for x
    x = 366,153.12/523.44
  6. Step 6: Final answer
    x = 699.51

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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.