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Finding the Fourth Proportional to 694.01, 1,042.64 and 656.69

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Solution

The fourth proportional to 694.01, 1,042.64 and 656.69 is: 986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.01 : 1,042.64 = 656.69 : x
  2. Step 2: Convert to fraction form
    694.01/1,042.64 = 656.69/x
  3. Step 3: Cross multiply
    694.01x = 1,042.64 × 656.69
  4. Step 4: Simplify right side
    694.01x = 684,689.86
  5. Step 5: Solve for x
    x = 684,689.86/694.01
  6. Step 6: Final answer
    x = 986.56

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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.