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Finding the Fourth Proportional to 1,162.57, 1,743.28 and 422.15

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Solution

The fourth proportional to 1,162.57, 1,743.28 and 422.15 is: 633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.57 : 1,743.28 = 422.15 : x
  2. Step 2: Convert to fraction form
    1,162.57/1,743.28 = 422.15/x
  3. Step 3: Cross multiply
    1,162.57x = 1,743.28 × 422.15
  4. Step 4: Simplify right side
    1,162.57x = 735,925.65
  5. Step 5: Solve for x
    x = 735,925.65/1,162.57
  6. Step 6: Final answer
    x = 633.02

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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.