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Finding the Fourth Proportional to 715.44, 988.14 and 709.92

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Solution

The fourth proportional to 715.44, 988.14 and 709.92 is: 980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.44 : 988.14 = 709.92 : x
  2. Step 2: Convert to fraction form
    715.44/988.14 = 709.92/x
  3. Step 3: Cross multiply
    715.44x = 988.14 × 709.92
  4. Step 4: Simplify right side
    715.44x = 701,500.35
  5. Step 5: Solve for x
    x = 701,500.35/715.44
  6. Step 6: Final answer
    x = 980.52

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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.