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Finding the Fourth Proportional to 518.95, 781.27 and 473.59

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Solution

The fourth proportional to 518.95, 781.27 and 473.59 is: 712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.95 : 781.27 = 473.59 : x
  2. Step 2: Convert to fraction form
    518.95/781.27 = 473.59/x
  3. Step 3: Cross multiply
    518.95x = 781.27 × 473.59
  4. Step 4: Simplify right side
    518.95x = 370,001.66
  5. Step 5: Solve for x
    x = 370,001.66/518.95
  6. Step 6: Final answer
    x = 712.98

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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.