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Finding the Fourth Proportional to 1,230.17, 1,843.18 and 864.29

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Solution

The fourth proportional to 1,230.17, 1,843.18 and 864.29 is: 1,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.17 : 1,843.18 = 864.29 : x
  2. Step 2: Convert to fraction form
    1,230.17/1,843.18 = 864.29/x
  3. Step 3: Cross multiply
    1,230.17x = 1,843.18 × 864.29
  4. Step 4: Simplify right side
    1,230.17x = 1,593,044.49
  5. Step 5: Solve for x
    x = 1,593,044.49/1,230.17
  6. Step 6: Final answer
    x = 1,294.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.