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Finding the Fourth Proportional to 1,443.90, 2,165.87 and 520.12

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Solution

The fourth proportional to 1,443.90, 2,165.87 and 520.12 is: 780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.90 : 2,165.87 = 520.12 : x
  2. Step 2: Convert to fraction form
    1,443.90/2,165.87 = 520.12/x
  3. Step 3: Cross multiply
    1,443.90x = 2,165.87 × 520.12
  4. Step 4: Simplify right side
    1,443.90x = 1,126,512.30
  5. Step 5: Solve for x
    x = 1,126,512.30/1,443.90
  6. Step 6: Final answer
    x = 780.19

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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.