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Finding the Fourth Proportional to 1,306.13, 1,959.12 and 381.65

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Solution

The fourth proportional to 1,306.13, 1,959.12 and 381.65 is: 572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.13 : 1,959.12 = 381.65 : x
  2. Step 2: Convert to fraction form
    1,306.13/1,959.12 = 381.65/x
  3. Step 3: Cross multiply
    1,306.13x = 1,959.12 × 381.65
  4. Step 4: Simplify right side
    1,306.13x = 747,688.35
  5. Step 5: Solve for x
    x = 747,688.35/1,306.13
  6. Step 6: Final answer
    x = 572.45

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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.