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Finding the Fourth Proportional to 707.97, 1,062.11 and 342.56

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Solution

The fourth proportional to 707.97, 1,062.11 and 342.56 is: 513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.97 : 1,062.11 = 342.56 : x
  2. Step 2: Convert to fraction form
    707.97/1,062.11 = 342.56/x
  3. Step 3: Cross multiply
    707.97x = 1,062.11 × 342.56
  4. Step 4: Simplify right side
    707.97x = 363,829.38
  5. Step 5: Solve for x
    x = 363,829.38/707.97
  6. Step 6: Final answer
    x = 513.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.