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Finding the Fourth Proportional to 695.50, 1,042.36 and 520.80

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Solution

The fourth proportional to 695.50, 1,042.36 and 520.80 is: 780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.50 : 1,042.36 = 520.80 : x
  2. Step 2: Convert to fraction form
    695.50/1,042.36 = 520.80/x
  3. Step 3: Cross multiply
    695.50x = 1,042.36 × 520.80
  4. Step 4: Simplify right side
    695.50x = 542,853.27
  5. Step 5: Solve for x
    x = 542,853.27/695.50
  6. Step 6: Final answer
    x = 780.52

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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.