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Finding the Fourth Proportional to 912.12, 1,257.42 and 899.76

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Solution

The fourth proportional to 912.12, 1,257.42 and 899.76 is: 1,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.12 : 1,257.42 = 899.76 : x
  2. Step 2: Convert to fraction form
    912.12/1,257.42 = 899.76/x
  3. Step 3: Cross multiply
    912.12x = 1,257.42 × 899.76
  4. Step 4: Simplify right side
    912.12x = 1,131,376.22
  5. Step 5: Solve for x
    x = 1,131,376.22/912.12
  6. Step 6: Final answer
    x = 1,240.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.