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Finding the Fourth Proportional to 908.34, 1,256.28 and 809.92

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Solution

The fourth proportional to 908.34, 1,256.28 and 809.92 is: 1,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.34 : 1,256.28 = 809.92 : x
  2. Step 2: Convert to fraction form
    908.34/1,256.28 = 809.92/x
  3. Step 3: Cross multiply
    908.34x = 1,256.28 × 809.92
  4. Step 4: Simplify right side
    908.34x = 1,017,486.30
  5. Step 5: Solve for x
    x = 1,017,486.30/908.34
  6. Step 6: Final answer
    x = 1,120.16

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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.