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Finding the Fourth Proportional to 435.70, 649.91 and 394.66

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Solution

The fourth proportional to 435.70, 649.91 and 394.66 is: 588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.70 : 649.91 = 394.66 : x
  2. Step 2: Convert to fraction form
    435.70/649.91 = 394.66/x
  3. Step 3: Cross multiply
    435.70x = 649.91 × 394.66
  4. Step 4: Simplify right side
    435.70x = 256,493.48
  5. Step 5: Solve for x
    x = 256,493.48/435.70
  6. Step 6: Final answer
    x = 588.69

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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.