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Finding the Fourth Proportional to 694.61, 1,042.36 and 638.99

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Solution

The fourth proportional to 694.61, 1,042.36 and 638.99 is: 958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.61 : 1,042.36 = 638.99 : x
  2. Step 2: Convert to fraction form
    694.61/1,042.36 = 638.99/x
  3. Step 3: Cross multiply
    694.61x = 1,042.36 × 638.99
  4. Step 4: Simplify right side
    694.61x = 666,057.62
  5. Step 5: Solve for x
    x = 666,057.62/694.61
  6. Step 6: Final answer
    x = 958.89

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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.