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Finding the Fourth Proportional to 695.40, 1,042.20 and 502.80

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Solution

The fourth proportional to 695.40, 1,042.20 and 502.80 is: 753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.40 : 1,042.20 = 502.80 : x
  2. Step 2: Convert to fraction form
    695.40/1,042.20 = 502.80/x
  3. Step 3: Cross multiply
    695.40x = 1,042.20 × 502.80
  4. Step 4: Simplify right side
    695.40x = 524,018.16
  5. Step 5: Solve for x
    x = 524,018.16/695.40
  6. Step 6: Final answer
    x = 753.55

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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.