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Finding the Fourth Proportional to 1,630.29, 2,249.76 and 922.17

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Solution

The fourth proportional to 1,630.29, 2,249.76 and 922.17 is: 1,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.29 : 2,249.76 = 922.17 : x
  2. Step 2: Convert to fraction form
    1,630.29/2,249.76 = 922.17/x
  3. Step 3: Cross multiply
    1,630.29x = 2,249.76 × 922.17
  4. Step 4: Simplify right side
    1,630.29x = 2,074,661.18
  5. Step 5: Solve for x
    x = 2,074,661.18/1,630.29
  6. Step 6: Final answer
    x = 1,272.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.