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Finding the Fourth Proportional to 1,442.71, 2,163.97 and 576.40

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Solution

The fourth proportional to 1,442.71, 2,163.97 and 576.40 is: 864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.71 : 2,163.97 = 576.40 : x
  2. Step 2: Convert to fraction form
    1,442.71/2,163.97 = 576.40/x
  3. Step 3: Cross multiply
    1,442.71x = 2,163.97 × 576.40
  4. Step 4: Simplify right side
    1,442.71x = 1,247,312.31
  5. Step 5: Solve for x
    x = 1,247,312.31/1,442.71
  6. Step 6: Final answer
    x = 864.56

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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.