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Finding the Fourth Proportional to 1,306.76, 1,960.11 and 332.86

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Solution

The fourth proportional to 1,306.76, 1,960.11 and 332.86 is: 499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.76 : 1,960.11 = 332.86 : x
  2. Step 2: Convert to fraction form
    1,306.76/1,960.11 = 332.86/x
  3. Step 3: Cross multiply
    1,306.76x = 1,960.11 × 332.86
  4. Step 4: Simplify right side
    1,306.76x = 652,432.41
  5. Step 5: Solve for x
    x = 652,432.41/1,306.76
  6. Step 6: Final answer
    x = 499.27

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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.