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Finding the Fourth Proportional to 580.16, 869.34 and 319.94

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Solution

The fourth proportional to 580.16, 869.34 and 319.94 is: 479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.16 : 869.34 = 319.94 : x
  2. Step 2: Convert to fraction form
    580.16/869.34 = 319.94/x
  3. Step 3: Cross multiply
    580.16x = 869.34 × 319.94
  4. Step 4: Simplify right side
    580.16x = 278,136.64
  5. Step 5: Solve for x
    x = 278,136.64/580.16
  6. Step 6: Final answer
    x = 479.41

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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.