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Finding the Fourth Proportional to 435.27, 649.70 and 398.74

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Solution

The fourth proportional to 435.27, 649.70 and 398.74 is: 595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.27 : 649.70 = 398.74 : x
  2. Step 2: Convert to fraction form
    435.27/649.70 = 398.74/x
  3. Step 3: Cross multiply
    435.27x = 649.70 × 398.74
  4. Step 4: Simplify right side
    435.27x = 259,062.72
  5. Step 5: Solve for x
    x = 259,062.72/435.27
  6. Step 6: Final answer
    x = 595.17

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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.