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Finding the Fourth Proportional to 718.22, 1,072.96 and 511.18

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Solution

The fourth proportional to 718.22, 1,072.96 and 511.18 is: 763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.22 : 1,072.96 = 511.18 : x
  2. Step 2: Convert to fraction form
    718.22/1,072.96 = 511.18/x
  3. Step 3: Cross multiply
    718.22x = 1,072.96 × 511.18
  4. Step 4: Simplify right side
    718.22x = 548,475.69
  5. Step 5: Solve for x
    x = 548,475.69/718.22
  6. Step 6: Final answer
    x = 763.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.