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Finding the Fourth Proportional to 580.28, 800.76 and 318.29

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Solution

The fourth proportional to 580.28, 800.76 and 318.29 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.28 : 800.76 = 318.29 : x
  2. Step 2: Convert to fraction form
    580.28/800.76 = 318.29/x
  3. Step 3: Cross multiply
    580.28x = 800.76 × 318.29
  4. Step 4: Simplify right side
    580.28x = 254,877.10
  5. Step 5: Solve for x
    x = 254,877.10/580.28
  6. Step 6: Final answer
    x = 439.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.