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Finding the Fourth Proportional to 672.62, 1,010.34 and 654.39

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Solution

The fourth proportional to 672.62, 1,010.34 and 654.39 is: 982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.62 : 1,010.34 = 654.39 : x
  2. Step 2: Convert to fraction form
    672.62/1,010.34 = 654.39/x
  3. Step 3: Cross multiply
    672.62x = 1,010.34 × 654.39
  4. Step 4: Simplify right side
    672.62x = 661,156.39
  5. Step 5: Solve for x
    x = 661,156.39/672.62
  6. Step 6: Final answer
    x = 982.96

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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.