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Finding the Fourth Proportional to 1,443.78, 2,165.97 and 578.09

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Solution

The fourth proportional to 1,443.78, 2,165.97 and 578.09 is: 867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.78 : 2,165.97 = 578.09 : x
  2. Step 2: Convert to fraction form
    1,443.78/2,165.97 = 578.09/x
  3. Step 3: Cross multiply
    1,443.78x = 2,165.97 × 578.09
  4. Step 4: Simplify right side
    1,443.78x = 1,252,114.77
  5. Step 5: Solve for x
    x = 1,252,114.77/1,443.78
  6. Step 6: Final answer
    x = 867.25

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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.