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Finding the Fourth Proportional to 695.87, 1,042.20 and 499.65

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Solution

The fourth proportional to 695.87, 1,042.20 and 499.65 is: 748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.87 : 1,042.20 = 499.65 : x
  2. Step 2: Convert to fraction form
    695.87/1,042.20 = 499.65/x
  3. Step 3: Cross multiply
    695.87x = 1,042.20 × 499.65
  4. Step 4: Simplify right side
    695.87x = 520,735.23
  5. Step 5: Solve for x
    x = 520,735.23/695.87
  6. Step 6: Final answer
    x = 748.32

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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.