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Finding the Fourth Proportional to 908.69, 1,253.84 and 862.56

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Solution

The fourth proportional to 908.69, 1,253.84 and 862.56 is: 1,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.69 : 1,253.84 = 862.56 : x
  2. Step 2: Convert to fraction form
    908.69/1,253.84 = 862.56/x
  3. Step 3: Cross multiply
    908.69x = 1,253.84 × 862.56
  4. Step 4: Simplify right side
    908.69x = 1,081,507.92
  5. Step 5: Solve for x
    x = 1,081,507.92/908.69
  6. Step 6: Final answer
    x = 1,190.19

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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.