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Finding the Fourth Proportional to 580.94, 871.72 and 256.54

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Solution

The fourth proportional to 580.94, 871.72 and 256.54 is: 384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.94 : 871.72 = 256.54 : x
  2. Step 2: Convert to fraction form
    580.94/871.72 = 256.54/x
  3. Step 3: Cross multiply
    580.94x = 871.72 × 256.54
  4. Step 4: Simplify right side
    580.94x = 223,631.05
  5. Step 5: Solve for x
    x = 223,631.05/580.94
  6. Step 6: Final answer
    x = 384.95

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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.