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Finding the Fourth Proportional to 1,443.10, 2,163.32 and 468.70

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Solution

The fourth proportional to 1,443.10, 2,163.32 and 468.70 is: 702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.10 : 2,163.32 = 468.70 : x
  2. Step 2: Convert to fraction form
    1,443.10/2,163.32 = 468.70/x
  3. Step 3: Cross multiply
    1,443.10x = 2,163.32 × 468.70
  4. Step 4: Simplify right side
    1,443.10x = 1,013,948.08
  5. Step 5: Solve for x
    x = 1,013,948.08/1,443.10
  6. Step 6: Final answer
    x = 702.62

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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.