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Finding the Fourth Proportional to 580.78, 871.23 and 169.93

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Solution

The fourth proportional to 580.78, 871.23 and 169.93 is: 254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.78 : 871.23 = 169.93 : x
  2. Step 2: Convert to fraction form
    580.78/871.23 = 169.93/x
  3. Step 3: Cross multiply
    580.78x = 871.23 × 169.93
  4. Step 4: Simplify right side
    580.78x = 148,048.11
  5. Step 5: Solve for x
    x = 148,048.11/580.78
  6. Step 6: Final answer
    x = 254.91

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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.