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Finding the Fourth Proportional to 580.40, 871.04 and 291.68

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Solution

The fourth proportional to 580.40, 871.04 and 291.68 is: 437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.40 : 871.04 = 291.68 : x
  2. Step 2: Convert to fraction form
    580.40/871.04 = 291.68/x
  3. Step 3: Cross multiply
    580.40x = 871.04 × 291.68
  4. Step 4: Simplify right side
    580.40x = 254,064.95
  5. Step 5: Solve for x
    x = 254,064.95/580.40
  6. Step 6: Final answer
    x = 437.74

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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.