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Finding the Fourth Proportional to 695.60, 1,042.86 and 478.52

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Solution

The fourth proportional to 695.60, 1,042.86 and 478.52 is: 717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.60 : 1,042.86 = 478.52 : x
  2. Step 2: Convert to fraction form
    695.60/1,042.86 = 478.52/x
  3. Step 3: Cross multiply
    695.60x = 1,042.86 × 478.52
  4. Step 4: Simplify right side
    695.60x = 499,029.37
  5. Step 5: Solve for x
    x = 499,029.37/695.60
  6. Step 6: Final answer
    x = 717.41

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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.