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Finding the Fourth Proportional to 518.38, 781.42 and 473.22

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Solution

The fourth proportional to 518.38, 781.42 and 473.22 is: 713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.38 : 781.42 = 473.22 : x
  2. Step 2: Convert to fraction form
    518.38/781.42 = 473.22/x
  3. Step 3: Cross multiply
    518.38x = 781.42 × 473.22
  4. Step 4: Simplify right side
    518.38x = 369,783.57
  5. Step 5: Solve for x
    x = 369,783.57/518.38
  6. Step 6: Final answer
    x = 713.34

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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.