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Finding the Fourth Proportional to 809.96, 1,116.85 and 547.52

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Solution

The fourth proportional to 809.96, 1,116.85 and 547.52 is: 754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.96 : 1,116.85 = 547.52 : x
  2. Step 2: Convert to fraction form
    809.96/1,116.85 = 547.52/x
  3. Step 3: Cross multiply
    809.96x = 1,116.85 × 547.52
  4. Step 4: Simplify right side
    809.96x = 611,497.71
  5. Step 5: Solve for x
    x = 611,497.71/809.96
  6. Step 6: Final answer
    x = 754.97

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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.