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Finding the Fourth Proportional to 708, 1,062.28 and 275.12

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Solution

The fourth proportional to 708, 1,062.28 and 275.12 is: 412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    708 : 1,062.28 = 275.12 : x
  2. Step 2: Convert to fraction form
    708/1,062.28 = 275.12/x
  3. Step 3: Cross multiply
    708x = 1,062.28 × 275.12
  4. Step 4: Simplify right side
    708x = 292,254.47
  5. Step 5: Solve for x
    x = 292,254.47/708
  6. Step 6: Final answer
    x = 412.79

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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.