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Finding the Fourth Proportional to 1,538.12, 2,305.43 and 660.18

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Solution

The fourth proportional to 1,538.12, 2,305.43 and 660.18 is: 989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.12 : 2,305.43 = 660.18 : x
  2. Step 2: Convert to fraction form
    1,538.12/2,305.43 = 660.18/x
  3. Step 3: Cross multiply
    1,538.12x = 2,305.43 × 660.18
  4. Step 4: Simplify right side
    1,538.12x = 1,522,006.60
  5. Step 5: Solve for x
    x = 1,522,006.60/1,538.12
  6. Step 6: Final answer
    x = 989.52

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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.