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Finding the Fourth Proportional to 1,311.64, 1,957.31 and 1,166.20

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Solution

The fourth proportional to 1,311.64, 1,957.31 and 1,166.20 is: 1,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.64 : 1,957.31 = 1,166.20 : x
  2. Step 2: Convert to fraction form
    1,311.64/1,957.31 = 1,166.20/x
  3. Step 3: Cross multiply
    1,311.64x = 1,957.31 × 1,166.20
  4. Step 4: Simplify right side
    1,311.64x = 2,282,614.92
  5. Step 5: Solve for x
    x = 2,282,614.92/1,311.64
  6. Step 6: Final answer
    x = 1,740.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.