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Finding the Fourth Proportional to 580.81, 871.04 and 306.75

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Solution

The fourth proportional to 580.81, 871.04 and 306.75 is: 460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.81 : 871.04 = 306.75 : x
  2. Step 2: Convert to fraction form
    580.81/871.04 = 306.75/x
  3. Step 3: Cross multiply
    580.81x = 871.04 × 306.75
  4. Step 4: Simplify right side
    580.81x = 267,192.29
  5. Step 5: Solve for x
    x = 267,192.29/580.81
  6. Step 6: Final answer
    x = 460.04

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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.