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Finding the Fourth Proportional to 672.34, 1,001.17 and 647.74

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Solution

The fourth proportional to 672.34, 1,001.17 and 647.74 is: 964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.34 : 1,001.17 = 647.74 : x
  2. Step 2: Convert to fraction form
    672.34/1,001.17 = 647.74/x
  3. Step 3: Cross multiply
    672.34x = 1,001.17 × 647.74
  4. Step 4: Simplify right side
    672.34x = 648,494.62
  5. Step 5: Solve for x
    x = 648,494.62/672.34
  6. Step 6: Final answer
    x = 964.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.