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Finding the Fourth Proportional to 908.87, 1,254.11 and 515.84

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Solution

The fourth proportional to 908.87, 1,254.11 and 515.84 is: 711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.87 : 1,254.11 = 515.84 : x
  2. Step 2: Convert to fraction form
    908.87/1,254.11 = 515.84/x
  3. Step 3: Cross multiply
    908.87x = 1,254.11 × 515.84
  4. Step 4: Simplify right side
    908.87x = 646,911.25
  5. Step 5: Solve for x
    x = 646,911.25/908.87
  6. Step 6: Final answer
    x = 711.78

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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.