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Finding the Fourth Proportional to 435.20, 649.17 and 394.16

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Solution

The fourth proportional to 435.20, 649.17 and 394.16 is: 587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.20 : 649.17 = 394.16 : x
  2. Step 2: Convert to fraction form
    435.20/649.17 = 394.16/x
  3. Step 3: Cross multiply
    435.20x = 649.17 × 394.16
  4. Step 4: Simplify right side
    435.20x = 255,874.88
  5. Step 5: Solve for x
    x = 255,874.88/435.20
  6. Step 6: Final answer
    x = 587.95

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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.