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Finding the Fourth Proportional to 909.98, 1,254.92 and 724.08

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Solution

The fourth proportional to 909.98, 1,254.92 and 724.08 is: 998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.98 : 1,254.92 = 724.08 : x
  2. Step 2: Convert to fraction form
    909.98/1,254.92 = 724.08/x
  3. Step 3: Cross multiply
    909.98x = 1,254.92 × 724.08
  4. Step 4: Simplify right side
    909.98x = 908,658.85
  5. Step 5: Solve for x
    x = 908,658.85/909.98
  6. Step 6: Final answer
    x = 998.55

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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.