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Finding the Fourth Proportional to 1,306.36, 1,959.64 and 381.92

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Solution

The fourth proportional to 1,306.36, 1,959.64 and 381.92 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.36 : 1,959.64 = 381.92 : x
  2. Step 2: Convert to fraction form
    1,306.36/1,959.64 = 381.92/x
  3. Step 3: Cross multiply
    1,306.36x = 1,959.64 × 381.92
  4. Step 4: Simplify right side
    1,306.36x = 748,425.71
  5. Step 5: Solve for x
    x = 748,425.71/1,306.36
  6. Step 6: Final answer
    x = 572.91

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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.