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Finding the Fourth Proportional to 659, 909.42 and 426.16

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Solution

The fourth proportional to 659, 909.42 and 426.16 is: 588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    659 : 909.42 = 426.16 : x
  2. Step 2: Convert to fraction form
    659/909.42 = 426.16/x
  3. Step 3: Cross multiply
    659x = 909.42 × 426.16
  4. Step 4: Simplify right side
    659x = 387,558.43
  5. Step 5: Solve for x
    x = 387,558.43/659
  6. Step 6: Final answer
    x = 588.10

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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.