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Finding the Fourth Proportional to 409.90, 615.18 and 406.86

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Solution

The fourth proportional to 409.90, 615.18 and 406.86 is: 610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.90 : 615.18 = 406.86 : x
  2. Step 2: Convert to fraction form
    409.90/615.18 = 406.86/x
  3. Step 3: Cross multiply
    409.90x = 615.18 × 406.86
  4. Step 4: Simplify right side
    409.90x = 250,292.13
  5. Step 5: Solve for x
    x = 250,292.13/409.90
  6. Step 6: Final answer
    x = 610.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.