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Finding the Fourth Proportional to 672.13, 1,010.07 and 398.35

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Solution

The fourth proportional to 672.13, 1,010.07 and 398.35 is: 598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.13 : 1,010.07 = 398.35 : x
  2. Step 2: Convert to fraction form
    672.13/1,010.07 = 398.35/x
  3. Step 3: Cross multiply
    672.13x = 1,010.07 × 398.35
  4. Step 4: Simplify right side
    672.13x = 402,361.38
  5. Step 5: Solve for x
    x = 402,361.38/672.13
  6. Step 6: Final answer
    x = 598.64

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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.