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Finding the Fourth Proportional to 701.76, 976.18 and 688.40

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Solution

The fourth proportional to 701.76, 976.18 and 688.40 is: 957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.76 : 976.18 = 688.40 : x
  2. Step 2: Convert to fraction form
    701.76/976.18 = 688.40/x
  3. Step 3: Cross multiply
    701.76x = 976.18 × 688.40
  4. Step 4: Simplify right side
    701.76x = 671,998.73
  5. Step 5: Solve for x
    x = 671,998.73/701.76
  6. Step 6: Final answer
    x = 957.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.