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Finding the Fourth Proportional to 1,617.74, 2,422.62 and 922.69

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Solution

The fourth proportional to 1,617.74, 2,422.62 and 922.69 is: 1,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.74 : 2,422.62 = 922.69 : x
  2. Step 2: Convert to fraction form
    1,617.74/2,422.62 = 922.69/x
  3. Step 3: Cross multiply
    1,617.74x = 2,422.62 × 922.69
  4. Step 4: Simplify right side
    1,617.74x = 2,235,318.88
  5. Step 5: Solve for x
    x = 2,235,318.88/1,617.74
  6. Step 6: Final answer
    x = 1,381.76

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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.