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Finding the Fourth Proportional to 572.56, 790.20 and 339.76

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Solution

The fourth proportional to 572.56, 790.20 and 339.76 is: 468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.56 : 790.20 = 339.76 : x
  2. Step 2: Convert to fraction form
    572.56/790.20 = 339.76/x
  3. Step 3: Cross multiply
    572.56x = 790.20 × 339.76
  4. Step 4: Simplify right side
    572.56x = 268,478.35
  5. Step 5: Solve for x
    x = 268,478.35/572.56
  6. Step 6: Final answer
    x = 468.91

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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.