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Finding the Fourth Proportional to 811.17, 1,119.02 and 516.53

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Solution

The fourth proportional to 811.17, 1,119.02 and 516.53 is: 712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.17 : 1,119.02 = 516.53 : x
  2. Step 2: Convert to fraction form
    811.17/1,119.02 = 516.53/x
  3. Step 3: Cross multiply
    811.17x = 1,119.02 × 516.53
  4. Step 4: Simplify right side
    811.17x = 577,999.22
  5. Step 5: Solve for x
    x = 577,999.22/811.17
  6. Step 6: Final answer
    x = 712.55

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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.