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Finding the Fourth Proportional to 1,247.38, 1,721.65 and 716.34

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Solution

The fourth proportional to 1,247.38, 1,721.65 and 716.34 is: 988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.38 : 1,721.65 = 716.34 : x
  2. Step 2: Convert to fraction form
    1,247.38/1,721.65 = 716.34/x
  3. Step 3: Cross multiply
    1,247.38x = 1,721.65 × 716.34
  4. Step 4: Simplify right side
    1,247.38x = 1,233,284.97
  5. Step 5: Solve for x
    x = 1,233,284.97/1,247.38
  6. Step 6: Final answer
    x = 988.70

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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.