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Finding the Fourth Proportional to 712.77, 982.17 and 688.47

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Solution

The fourth proportional to 712.77, 982.17 and 688.47 is: 948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.77 : 982.17 = 688.47 : x
  2. Step 2: Convert to fraction form
    712.77/982.17 = 688.47/x
  3. Step 3: Cross multiply
    712.77x = 982.17 × 688.47
  4. Step 4: Simplify right side
    712.77x = 676,194.58
  5. Step 5: Solve for x
    x = 676,194.58/712.77
  6. Step 6: Final answer
    x = 948.69

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1.5x scale

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.