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Finding the Fourth Proportional to 811.59, 1,120.92 and 549.15

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Solution

The fourth proportional to 811.59, 1,120.92 and 549.15 is: 758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.59 : 1,120.92 = 549.15 : x
  2. Step 2: Convert to fraction form
    811.59/1,120.92 = 549.15/x
  3. Step 3: Cross multiply
    811.59x = 1,120.92 × 549.15
  4. Step 4: Simplify right side
    811.59x = 615,553.22
  5. Step 5: Solve for x
    x = 615,553.22/811.59
  6. Step 6: Final answer
    x = 758.45

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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.