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Finding the Fourth Proportional to 672.24, 1,010.25 and 398.37

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Solution

The fourth proportional to 672.24, 1,010.25 and 398.37 is: 598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.24 : 1,010.25 = 398.37 : x
  2. Step 2: Convert to fraction form
    672.24/1,010.25 = 398.37/x
  3. Step 3: Cross multiply
    672.24x = 1,010.25 × 398.37
  4. Step 4: Simplify right side
    672.24x = 402,453.29
  5. Step 5: Solve for x
    x = 402,453.29/672.24
  6. Step 6: Final answer
    x = 598.68

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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.