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Finding the Fourth Proportional to 500.60, 687.87 and 407.12

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Solution

The fourth proportional to 500.60, 687.87 and 407.12 is: 559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.60 : 687.87 = 407.12 : x
  2. Step 2: Convert to fraction form
    500.60/687.87 = 407.12/x
  3. Step 3: Cross multiply
    500.60x = 687.87 × 407.12
  4. Step 4: Simplify right side
    500.60x = 280,042.20
  5. Step 5: Solve for x
    x = 280,042.20/500.60
  6. Step 6: Final answer
    x = 559.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.