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Finding the Fourth Proportional to 406.64, 605.80 and 387.05

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Solution

The fourth proportional to 406.64, 605.80 and 387.05 is: 576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.64 : 605.80 = 387.05 : x
  2. Step 2: Convert to fraction form
    406.64/605.80 = 387.05/x
  3. Step 3: Cross multiply
    406.64x = 605.80 × 387.05
  4. Step 4: Simplify right side
    406.64x = 234,472.41
  5. Step 5: Solve for x
    x = 234,472.41/406.64
  6. Step 6: Final answer
    x = 576.61

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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.