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Finding the Fourth Proportional to 580.99, 871.21 and 337.58

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Solution

The fourth proportional to 580.99, 871.21 and 337.58 is: 506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.99 : 871.21 = 337.58 : x
  2. Step 2: Convert to fraction form
    580.99/871.21 = 337.58/x
  3. Step 3: Cross multiply
    580.99x = 871.21 × 337.58
  4. Step 4: Simplify right side
    580.99x = 294,101.38
  5. Step 5: Solve for x
    x = 294,101.38/580.99
  6. Step 6: Final answer
    x = 506.21

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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.