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Finding the Fourth Proportional to 521.31, 784.47 and 429.43

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Solution

The fourth proportional to 521.31, 784.47 and 429.43 is: 646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.31 : 784.47 = 429.43 : x
  2. Step 2: Convert to fraction form
    521.31/784.47 = 429.43/x
  3. Step 3: Cross multiply
    521.31x = 784.47 × 429.43
  4. Step 4: Simplify right side
    521.31x = 336,874.60
  5. Step 5: Solve for x
    x = 336,874.60/521.31
  6. Step 6: Final answer
    x = 646.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.