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Finding the Fourth Proportional to 709.88, 983.78 and 699.97

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Solution

The fourth proportional to 709.88, 983.78 and 699.97 is: 970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.88 : 983.78 = 699.97 : x
  2. Step 2: Convert to fraction form
    709.88/983.78 = 699.97/x
  3. Step 3: Cross multiply
    709.88x = 983.78 × 699.97
  4. Step 4: Simplify right side
    709.88x = 688,615.78
  5. Step 5: Solve for x
    x = 688,615.78/709.88
  6. Step 6: Final answer
    x = 970.04

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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.