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Finding the Fourth Proportional to 1,306.00, 1,959.31 and 381.65

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Solution

The fourth proportional to 1,306.00, 1,959.31 and 381.65 is: 572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.00 : 1,959.31 = 381.65 : x
  2. Step 2: Convert to fraction form
    1,306.00/1,959.31 = 381.65/x
  3. Step 3: Cross multiply
    1,306.00x = 1,959.31 × 381.65
  4. Step 4: Simplify right side
    1,306.00x = 747,761.34
  5. Step 5: Solve for x
    x = 747,761.34/1,306.00
  6. Step 6: Final answer
    x = 572.56

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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.