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Finding the Fourth Proportional to 580.28, 871 and 306.32

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Solution

The fourth proportional to 580.28, 871 and 306.32 is: 459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.28 : 871 = 306.32 : x
  2. Step 2: Convert to fraction form
    580.28/871 = 306.32/x
  3. Step 3: Cross multiply
    580.28x = 871 × 306.32
  4. Step 4: Simplify right side
    580.28x = 266,804.72
  5. Step 5: Solve for x
    x = 266,804.72/580.28
  6. Step 6: Final answer
    x = 459.79

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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.