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Finding the Fourth Proportional to 1,326.81, 1,987.03 and 740.44

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Solution

The fourth proportional to 1,326.81, 1,987.03 and 740.44 is: 1,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.81 : 1,987.03 = 740.44 : x
  2. Step 2: Convert to fraction form
    1,326.81/1,987.03 = 740.44/x
  3. Step 3: Cross multiply
    1,326.81x = 1,987.03 × 740.44
  4. Step 4: Simplify right side
    1,326.81x = 1,471,279.90
  5. Step 5: Solve for x
    x = 1,471,279.90/1,326.81
  6. Step 6: Final answer
    x = 1,108.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.