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Finding the Fourth Proportional to 572.70, 790.20 and 339.78

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Solution

The fourth proportional to 572.70, 790.20 and 339.78 is: 468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.70 : 790.20 = 339.78 : x
  2. Step 2: Convert to fraction form
    572.70/790.20 = 339.78/x
  3. Step 3: Cross multiply
    572.70x = 790.20 × 339.78
  4. Step 4: Simplify right side
    572.70x = 268,494.16
  5. Step 5: Solve for x
    x = 268,494.16/572.70
  6. Step 6: Final answer
    x = 468.82

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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.