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Finding the Fourth Proportional to 710.32, 1,062.24 and 675.76

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Solution

The fourth proportional to 710.32, 1,062.24 and 675.76 is: 1,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.32 : 1,062.24 = 675.76 : x
  2. Step 2: Convert to fraction form
    710.32/1,062.24 = 675.76/x
  3. Step 3: Cross multiply
    710.32x = 1,062.24 × 675.76
  4. Step 4: Simplify right side
    710.32x = 717,819.30
  5. Step 5: Solve for x
    x = 717,819.30/710.32
  6. Step 6: Final answer
    x = 1,010.56

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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.