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Finding the Fourth Proportional to 1,443.88, 2,166.12 and 578.14

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Solution

The fourth proportional to 1,443.88, 2,166.12 and 578.14 is: 867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.88 : 2,166.12 = 578.14 : x
  2. Step 2: Convert to fraction form
    1,443.88/2,166.12 = 578.14/x
  3. Step 3: Cross multiply
    1,443.88x = 2,166.12 × 578.14
  4. Step 4: Simplify right side
    1,443.88x = 1,252,320.62
  5. Step 5: Solve for x
    x = 1,252,320.62/1,443.88
  6. Step 6: Final answer
    x = 867.33

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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.