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Finding the Fourth Proportional to 519.04, 781.72 and 472.96

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Solution

The fourth proportional to 519.04, 781.72 and 472.96 is: 712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.04 : 781.72 = 472.96 : x
  2. Step 2: Convert to fraction form
    519.04/781.72 = 472.96/x
  3. Step 3: Cross multiply
    519.04x = 781.72 × 472.96
  4. Step 4: Simplify right side
    519.04x = 369,722.29
  5. Step 5: Solve for x
    x = 369,722.29/519.04
  6. Step 6: Final answer
    x = 712.32

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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.