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Finding the Fourth Proportional to 580.96, 871.44 and 215.65

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Solution

The fourth proportional to 580.96, 871.44 and 215.65 is: 323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.96 : 871.44 = 215.65 : x
  2. Step 2: Convert to fraction form
    580.96/871.44 = 215.65/x
  3. Step 3: Cross multiply
    580.96x = 871.44 × 215.65
  4. Step 4: Simplify right side
    580.96x = 187,926.04
  5. Step 5: Solve for x
    x = 187,926.04/580.96
  6. Step 6: Final answer
    x = 323.48

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Similar ratio
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1.5x scale

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.