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Finding the Fourth Proportional to 689.98, 1,035.42 and 634.36

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Solution

The fourth proportional to 689.98, 1,035.42 and 634.36 is: 951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.98 : 1,035.42 = 634.36 : x
  2. Step 2: Convert to fraction form
    689.98/1,035.42 = 634.36/x
  3. Step 3: Cross multiply
    689.98x = 1,035.42 × 634.36
  4. Step 4: Simplify right side
    689.98x = 656,829.03
  5. Step 5: Solve for x
    x = 656,829.03/689.98
  6. Step 6: Final answer
    x = 951.95

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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.