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Finding the Fourth Proportional to 1,250.38, 1,725.40 and 719.25

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Solution

The fourth proportional to 1,250.38, 1,725.40 and 719.25 is: 992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.38 : 1,725.40 = 719.25 : x
  2. Step 2: Convert to fraction form
    1,250.38/1,725.40 = 719.25/x
  3. Step 3: Cross multiply
    1,250.38x = 1,725.40 × 719.25
  4. Step 4: Simplify right side
    1,250.38x = 1,240,993.95
  5. Step 5: Solve for x
    x = 1,240,993.95/1,250.38
  6. Step 6: Final answer
    x = 992.49

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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.