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Finding the Fourth Proportional to 1,311.16, 1,966.96 and 653.07

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Solution

The fourth proportional to 1,311.16, 1,966.96 and 653.07 is: 979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.16 : 1,966.96 = 653.07 : x
  2. Step 2: Convert to fraction form
    1,311.16/1,966.96 = 653.07/x
  3. Step 3: Cross multiply
    1,311.16x = 1,966.96 × 653.07
  4. Step 4: Simplify right side
    1,311.16x = 1,284,562.57
  5. Step 5: Solve for x
    x = 1,284,562.57/1,311.16
  6. Step 6: Final answer
    x = 979.71

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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.