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Finding the Fourth Proportional to 1,311.64, 1,966.92 and 446.02

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Solution

The fourth proportional to 1,311.64, 1,966.92 and 446.02 is: 668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.64 : 1,966.92 = 446.02 : x
  2. Step 2: Convert to fraction form
    1,311.64/1,966.92 = 446.02/x
  3. Step 3: Cross multiply
    1,311.64x = 1,966.92 × 446.02
  4. Step 4: Simplify right side
    1,311.64x = 877,285.66
  5. Step 5: Solve for x
    x = 877,285.66/1,311.64
  6. Step 6: Final answer
    x = 668.85

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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.