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Finding the Fourth Proportional to 811.55, 1,119.61 and 516.76

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Solution

The fourth proportional to 811.55, 1,119.61 and 516.76 is: 712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.55 : 1,119.61 = 516.76 : x
  2. Step 2: Convert to fraction form
    811.55/1,119.61 = 516.76/x
  3. Step 3: Cross multiply
    811.55x = 1,119.61 × 516.76
  4. Step 4: Simplify right side
    811.55x = 578,569.66
  5. Step 5: Solve for x
    x = 578,569.66/811.55
  6. Step 6: Final answer
    x = 712.92

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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.