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Finding the Fourth Proportional to 1,250.99, 1,727.06 and 753.75

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Solution

The fourth proportional to 1,250.99, 1,727.06 and 753.75 is: 1,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.99 : 1,727.06 = 753.75 : x
  2. Step 2: Convert to fraction form
    1,250.99/1,727.06 = 753.75/x
  3. Step 3: Cross multiply
    1,250.99x = 1,727.06 × 753.75
  4. Step 4: Simplify right side
    1,250.99x = 1,301,767.71
  5. Step 5: Solve for x
    x = 1,301,767.71/1,250.99
  6. Step 6: Final answer
    x = 1,040.59

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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.