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Finding the Fourth Proportional to 610.80, 914.18 and 537.90

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Solution

The fourth proportional to 610.80, 914.18 and 537.90 is: 805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.80 : 914.18 = 537.90 : x
  2. Step 2: Convert to fraction form
    610.80/914.18 = 537.90/x
  3. Step 3: Cross multiply
    610.80x = 914.18 × 537.90
  4. Step 4: Simplify right side
    610.80x = 491,734.73
  5. Step 5: Solve for x
    x = 491,734.73/610.80
  6. Step 6: Final answer
    x = 805.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.