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Finding the Fourth Proportional to 610.96, 914.80 and 513.76

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Solution

The fourth proportional to 610.96, 914.80 and 513.76 is: 769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.96 : 914.80 = 513.76 : x
  2. Step 2: Convert to fraction form
    610.96/914.80 = 513.76/x
  3. Step 3: Cross multiply
    610.96x = 914.80 × 513.76
  4. Step 4: Simplify right side
    610.96x = 469,987.65
  5. Step 5: Solve for x
    x = 469,987.65/610.96
  6. Step 6: Final answer
    x = 769.26

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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.