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Finding the Fourth Proportional to 1,248.08, 1,722.29 and 716.59

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Solution

The fourth proportional to 1,248.08, 1,722.29 and 716.59 is: 988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.08 : 1,722.29 = 716.59 : x
  2. Step 2: Convert to fraction form
    1,248.08/1,722.29 = 716.59/x
  3. Step 3: Cross multiply
    1,248.08x = 1,722.29 × 716.59
  4. Step 4: Simplify right side
    1,248.08x = 1,234,178.39
  5. Step 5: Solve for x
    x = 1,234,178.39/1,248.08
  6. Step 6: Final answer
    x = 988.87

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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.