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Finding the Fourth Proportional to 700.74, 966.17 and 638.31

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Solution

The fourth proportional to 700.74, 966.17 and 638.31 is: 880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.74 : 966.17 = 638.31 : x
  2. Step 2: Convert to fraction form
    700.74/966.17 = 638.31/x
  3. Step 3: Cross multiply
    700.74x = 966.17 × 638.31
  4. Step 4: Simplify right side
    700.74x = 616,712.78
  5. Step 5: Solve for x
    x = 616,712.78/700.74
  6. Step 6: Final answer
    x = 880.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.