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Finding the Fourth Proportional to 909.42, 1,251.42 and 885.24

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Solution

The fourth proportional to 909.42, 1,251.42 and 885.24 is: 1,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.42 : 1,251.42 = 885.24 : x
  2. Step 2: Convert to fraction form
    909.42/1,251.42 = 885.24/x
  3. Step 3: Cross multiply
    909.42x = 1,251.42 × 885.24
  4. Step 4: Simplify right side
    909.42x = 1,107,807.04
  5. Step 5: Solve for x
    x = 1,107,807.04/909.42
  6. Step 6: Final answer
    x = 1,218.15

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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.