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Finding the Fourth Proportional to 708.24, 1,062.56 and 343.04

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Solution

The fourth proportional to 708.24, 1,062.56 and 343.04 is: 514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.24 : 1,062.56 = 343.04 : x
  2. Step 2: Convert to fraction form
    708.24/1,062.56 = 343.04/x
  3. Step 3: Cross multiply
    708.24x = 1,062.56 × 343.04
  4. Step 4: Simplify right side
    708.24x = 364,500.58
  5. Step 5: Solve for x
    x = 364,500.58/708.24
  6. Step 6: Final answer
    x = 514.66

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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.