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Finding the Fourth Proportional to 695, 1,042.50 and 656.52

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Solution

The fourth proportional to 695, 1,042.50 and 656.52 is: 984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    695 : 1,042.50 = 656.52 : x
  2. Step 2: Convert to fraction form
    695/1,042.50 = 656.52/x
  3. Step 3: Cross multiply
    695x = 1,042.50 × 656.52
  4. Step 4: Simplify right side
    695x = 684,422.10
  5. Step 5: Solve for x
    x = 684,422.10/695
  6. Step 6: Final answer
    x = 984.78

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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.