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Finding the Fourth Proportional to 1,325.11, 1,987.97 and 459.42

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Solution

The fourth proportional to 1,325.11, 1,987.97 and 459.42 is: 689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.11 : 1,987.97 = 459.42 : x
  2. Step 2: Convert to fraction form
    1,325.11/1,987.97 = 459.42/x
  3. Step 3: Cross multiply
    1,325.11x = 1,987.97 × 459.42
  4. Step 4: Simplify right side
    1,325.11x = 913,315.90
  5. Step 5: Solve for x
    x = 913,315.90/1,325.11
  6. Step 6: Final answer
    x = 689.24

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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.