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Finding the Fourth Proportional to 426.06, 588.16 and 409.49

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Solution

The fourth proportional to 426.06, 588.16 and 409.49 is: 565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.06 : 588.16 = 409.49 : x
  2. Step 2: Convert to fraction form
    426.06/588.16 = 409.49/x
  3. Step 3: Cross multiply
    426.06x = 588.16 × 409.49
  4. Step 4: Simplify right side
    426.06x = 240,842.12
  5. Step 5: Solve for x
    x = 240,842.12/426.06
  6. Step 6: Final answer
    x = 565.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.