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Finding the Fourth Proportional to 610.80, 914.52 and 393.84

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Solution

The fourth proportional to 610.80, 914.52 and 393.84 is: 589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.80 : 914.52 = 393.84 : x
  2. Step 2: Convert to fraction form
    610.80/914.52 = 393.84/x
  3. Step 3: Cross multiply
    610.80x = 914.52 × 393.84
  4. Step 4: Simplify right side
    610.80x = 360,174.56
  5. Step 5: Solve for x
    x = 360,174.56/610.80
  6. Step 6: Final answer
    x = 589.68

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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.