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Finding the Fourth Proportional to 434.79, 649.13 and 331.52

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Solution

The fourth proportional to 434.79, 649.13 and 331.52 is: 494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.79 : 649.13 = 331.52 : x
  2. Step 2: Convert to fraction form
    434.79/649.13 = 331.52/x
  3. Step 3: Cross multiply
    434.79x = 649.13 × 331.52
  4. Step 4: Simplify right side
    434.79x = 215,194.67
  5. Step 5: Solve for x
    x = 215,194.67/434.79
  6. Step 6: Final answer
    x = 494.94

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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.