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Finding the Fourth Proportional to 519.32, 781.79 and 474.68

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Solution

The fourth proportional to 519.32, 781.79 and 474.68 is: 714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 781.79 = 474.68 : x
  2. Step 2: Convert to fraction form
    519.32/781.79 = 474.68/x
  3. Step 3: Cross multiply
    519.32x = 781.79 × 474.68
  4. Step 4: Simplify right side
    519.32x = 371,093.79
  5. Step 5: Solve for x
    x = 371,093.79/519.32
  6. Step 6: Final answer
    x = 714.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.