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Finding the Fourth Proportional to 572.68, 790.30 and 310.70

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Solution

The fourth proportional to 572.68, 790.30 and 310.70 is: 428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.68 : 790.30 = 310.70 : x
  2. Step 2: Convert to fraction form
    572.68/790.30 = 310.70/x
  3. Step 3: Cross multiply
    572.68x = 790.30 × 310.70
  4. Step 4: Simplify right side
    572.68x = 245,542.26
  5. Step 5: Solve for x
    x = 245,542.26/572.68
  6. Step 6: Final answer
    x = 428.76

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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.