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Finding the Fourth Proportional to 1,045.38, 1,568.13 and 979.77

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Solution

The fourth proportional to 1,045.38, 1,568.13 and 979.77 is: 1,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.38 : 1,568.13 = 979.77 : x
  2. Step 2: Convert to fraction form
    1,045.38/1,568.13 = 979.77/x
  3. Step 3: Cross multiply
    1,045.38x = 1,568.13 × 979.77
  4. Step 4: Simplify right side
    1,045.38x = 1,536,406.73
  5. Step 5: Solve for x
    x = 1,536,406.73/1,045.38
  6. Step 6: Final answer
    x = 1,469.71

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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.