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Finding the Fourth Proportional to 520.66, 784.52 and 431.36

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Solution

The fourth proportional to 520.66, 784.52 and 431.36 is: 649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.66 : 784.52 = 431.36 : x
  2. Step 2: Convert to fraction form
    520.66/784.52 = 431.36/x
  3. Step 3: Cross multiply
    520.66x = 784.52 × 431.36
  4. Step 4: Simplify right side
    520.66x = 338,410.55
  5. Step 5: Solve for x
    x = 338,410.55/520.66
  6. Step 6: Final answer
    x = 649.96

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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.