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Finding the Fourth Proportional to 572.75, 790.38 and 310.76

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Solution

The fourth proportional to 572.75, 790.38 and 310.76 is: 428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.75 : 790.38 = 310.76 : x
  2. Step 2: Convert to fraction form
    572.75/790.38 = 310.76/x
  3. Step 3: Cross multiply
    572.75x = 790.38 × 310.76
  4. Step 4: Simplify right side
    572.75x = 245,614.54
  5. Step 5: Solve for x
    x = 245,614.54/572.75
  6. Step 6: Final answer
    x = 428.84

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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.