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Finding the Fourth Proportional to 708.04, 1,062.33 and 342.78

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Solution

The fourth proportional to 708.04, 1,062.33 and 342.78 is: 514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.04 : 1,062.33 = 342.78 : x
  2. Step 2: Convert to fraction form
    708.04/1,062.33 = 342.78/x
  3. Step 3: Cross multiply
    708.04x = 1,062.33 × 342.78
  4. Step 4: Simplify right side
    708.04x = 364,145.48
  5. Step 5: Solve for x
    x = 364,145.48/708.04
  6. Step 6: Final answer
    x = 514.30

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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.