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Finding the Fourth Proportional to 909.32, 1,364.10 and 422.48

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Solution

The fourth proportional to 909.32, 1,364.10 and 422.48 is: 633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.32 : 1,364.10 = 422.48 : x
  2. Step 2: Convert to fraction form
    909.32/1,364.10 = 422.48/x
  3. Step 3: Cross multiply
    909.32x = 1,364.10 × 422.48
  4. Step 4: Simplify right side
    909.32x = 576,304.97
  5. Step 5: Solve for x
    x = 576,304.97/909.32
  6. Step 6: Final answer
    x = 633.78

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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.