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Finding the Fourth Proportional to 1,505.12, 2,257.24 and 888.68

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Solution

The fourth proportional to 1,505.12, 2,257.24 and 888.68 is: 1,332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.12 : 2,257.24 = 888.68 : x
  2. Step 2: Convert to fraction form
    1,505.12/2,257.24 = 888.68/x
  3. Step 3: Cross multiply
    1,505.12x = 2,257.24 × 888.68
  4. Step 4: Simplify right side
    1,505.12x = 2,005,964.04
  5. Step 5: Solve for x
    x = 2,005,964.04/1,505.12
  6. Step 6: Final answer
    x = 1,332.76

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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.