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Finding the Fourth Proportional to 695.61, 1,042.61 and 284.54

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Solution

The fourth proportional to 695.61, 1,042.61 and 284.54 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.61 : 1,042.61 = 284.54 : x
  2. Step 2: Convert to fraction form
    695.61/1,042.61 = 284.54/x
  3. Step 3: Cross multiply
    695.61x = 1,042.61 × 284.54
  4. Step 4: Simplify right side
    695.61x = 296,657.61
  5. Step 5: Solve for x
    x = 296,657.61/695.61
  6. Step 6: Final answer
    x = 426.47

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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.