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Finding the Fourth Proportional to 518.66, 781.50 and 429.36

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Solution

The fourth proportional to 518.66, 781.50 and 429.36 is: 646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.66 : 781.50 = 429.36 : x
  2. Step 2: Convert to fraction form
    518.66/781.50 = 429.36/x
  3. Step 3: Cross multiply
    518.66x = 781.50 × 429.36
  4. Step 4: Simplify right side
    518.66x = 335,544.84
  5. Step 5: Solve for x
    x = 335,544.84/518.66
  6. Step 6: Final answer
    x = 646.95

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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.