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Finding the Fourth Proportional to 1,311.96, 1,967.70 and 446.28

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Solution

The fourth proportional to 1,311.96, 1,967.70 and 446.28 is: 669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.96 : 1,967.70 = 446.28 : x
  2. Step 2: Convert to fraction form
    1,311.96/1,967.70 = 446.28/x
  3. Step 3: Cross multiply
    1,311.96x = 1,967.70 × 446.28
  4. Step 4: Simplify right side
    1,311.96x = 878,145.16
  5. Step 5: Solve for x
    x = 878,145.16/1,311.96
  6. Step 6: Final answer
    x = 669.34

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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.