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Finding the Fourth Proportional to 1,311.32, 1,966.92 and 541.28

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Solution

The fourth proportional to 1,311.32, 1,966.92 and 541.28 is: 811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.32 : 1,966.92 = 541.28 : x
  2. Step 2: Convert to fraction form
    1,311.32/1,966.92 = 541.28/x
  3. Step 3: Cross multiply
    1,311.32x = 1,966.92 × 541.28
  4. Step 4: Simplify right side
    1,311.32x = 1,064,654.46
  5. Step 5: Solve for x
    x = 1,064,654.46/1,311.32
  6. Step 6: Final answer
    x = 811.90

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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.