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Finding the Fourth Proportional to 1,154.29, 1,731.42 and 922.09

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Solution

The fourth proportional to 1,154.29, 1,731.42 and 922.09 is: 1,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.29 : 1,731.42 = 922.09 : x
  2. Step 2: Convert to fraction form
    1,154.29/1,731.42 = 922.09/x
  3. Step 3: Cross multiply
    1,154.29x = 1,731.42 × 922.09
  4. Step 4: Simplify right side
    1,154.29x = 1,596,520.74
  5. Step 5: Solve for x
    x = 1,596,520.74/1,154.29
  6. Step 6: Final answer
    x = 1,383.12

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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.