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Finding the Fourth Proportional to 909.44, 1,367.64 and 724.76

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Solution

The fourth proportional to 909.44, 1,367.64 and 724.76 is: 1,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.44 : 1,367.64 = 724.76 : x
  2. Step 2: Convert to fraction form
    909.44/1,367.64 = 724.76/x
  3. Step 3: Cross multiply
    909.44x = 1,367.64 × 724.76
  4. Step 4: Simplify right side
    909.44x = 991,210.77
  5. Step 5: Solve for x
    x = 991,210.77/909.44
  6. Step 6: Final answer
    x = 1,089.91

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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.