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Finding the Fourth Proportional to 909.62, 1,253.96 and 723.19

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Solution

The fourth proportional to 909.62, 1,253.96 and 723.19 is: 996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.62 : 1,253.96 = 723.19 : x
  2. Step 2: Convert to fraction form
    909.62/1,253.96 = 723.19/x
  3. Step 3: Cross multiply
    909.62x = 1,253.96 × 723.19
  4. Step 4: Simplify right side
    909.62x = 906,841.45
  5. Step 5: Solve for x
    x = 906,841.45/909.62
  6. Step 6: Final answer
    x = 996.95

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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.