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Finding the Fourth Proportional to 672.49, 1,000.96 and 657.37

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Solution

The fourth proportional to 672.49, 1,000.96 and 657.37 is: 978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.49 : 1,000.96 = 657.37 : x
  2. Step 2: Convert to fraction form
    672.49/1,000.96 = 657.37/x
  3. Step 3: Cross multiply
    672.49x = 1,000.96 × 657.37
  4. Step 4: Simplify right side
    672.49x = 658,001.08
  5. Step 5: Solve for x
    x = 658,001.08/672.49
  6. Step 6: Final answer
    x = 978.45

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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.