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Finding the Fourth Proportional to 694.49, 1,042.17 and 648.93

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Solution

The fourth proportional to 694.49, 1,042.17 and 648.93 is: 973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.49 : 1,042.17 = 648.93 : x
  2. Step 2: Convert to fraction form
    694.49/1,042.17 = 648.93/x
  3. Step 3: Cross multiply
    694.49x = 1,042.17 × 648.93
  4. Step 4: Simplify right side
    694.49x = 676,295.38
  5. Step 5: Solve for x
    x = 676,295.38/694.49
  6. Step 6: Final answer
    x = 973.80

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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.