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Finding the Fourth Proportional to 710.92, 980.18 and 461.88

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Solution

The fourth proportional to 710.92, 980.18 and 461.88 is: 636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.92 : 980.18 = 461.88 : x
  2. Step 2: Convert to fraction form
    710.92/980.18 = 461.88/x
  3. Step 3: Cross multiply
    710.92x = 980.18 × 461.88
  4. Step 4: Simplify right side
    710.92x = 452,725.54
  5. Step 5: Solve for x
    x = 452,725.54/710.92
  6. Step 6: Final answer
    x = 636.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.