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Finding the Fourth Proportional to 1,443.95, 2,165.36 and 519.23

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Solution

The fourth proportional to 1,443.95, 2,165.36 and 519.23 is: 778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.95 : 2,165.36 = 519.23 : x
  2. Step 2: Convert to fraction form
    1,443.95/2,165.36 = 519.23/x
  3. Step 3: Cross multiply
    1,443.95x = 2,165.36 × 519.23
  4. Step 4: Simplify right side
    1,443.95x = 1,124,306.45
  5. Step 5: Solve for x
    x = 1,124,306.45/1,443.95
  6. Step 6: Final answer
    x = 778.63

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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.