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Finding the Fourth Proportional to 422.68, 586.04 and 409.20

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Solution

The fourth proportional to 422.68, 586.04 and 409.20 is: 567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.68 : 586.04 = 409.20 : x
  2. Step 2: Convert to fraction form
    422.68/586.04 = 409.20/x
  3. Step 3: Cross multiply
    422.68x = 586.04 × 409.20
  4. Step 4: Simplify right side
    422.68x = 239,807.57
  5. Step 5: Solve for x
    x = 239,807.57/422.68
  6. Step 6: Final answer
    x = 567.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.