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Finding the Fourth Proportional to 1,250.27, 1,725.23 and 719.01

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Solution

The fourth proportional to 1,250.27, 1,725.23 and 719.01 is: 992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.27 : 1,725.23 = 719.01 : x
  2. Step 2: Convert to fraction form
    1,250.27/1,725.23 = 719.01/x
  3. Step 3: Cross multiply
    1,250.27x = 1,725.23 × 719.01
  4. Step 4: Simplify right side
    1,250.27x = 1,240,454.03
  5. Step 5: Solve for x
    x = 1,240,454.03/1,250.27
  6. Step 6: Final answer
    x = 992.15

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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.