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Finding the Fourth Proportional to 520.60, 784.48 and 431.29

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Solution

The fourth proportional to 520.60, 784.48 and 431.29 is: 649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.60 : 784.48 = 431.29 : x
  2. Step 2: Convert to fraction form
    520.60/784.48 = 431.29/x
  3. Step 3: Cross multiply
    520.60x = 784.48 × 431.29
  4. Step 4: Simplify right side
    520.60x = 338,338.38
  5. Step 5: Solve for x
    x = 338,338.38/520.60
  6. Step 6: Final answer
    x = 649.90

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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.