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Finding the Fourth Proportional to 908.90, 1,254.21 and 515.85

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Solution

The fourth proportional to 908.90, 1,254.21 and 515.85 is: 711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.90 : 1,254.21 = 515.85 : x
  2. Step 2: Convert to fraction form
    908.90/1,254.21 = 515.85/x
  3. Step 3: Cross multiply
    908.90x = 1,254.21 × 515.85
  4. Step 4: Simplify right side
    908.90x = 646,984.23
  5. Step 5: Solve for x
    x = 646,984.23/908.90
  6. Step 6: Final answer
    x = 711.83

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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.