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Finding the Fourth Proportional to 557.60, 769.51 and 321.61

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Solution

The fourth proportional to 557.60, 769.51 and 321.61 is: 443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.60 : 769.51 = 321.61 : x
  2. Step 2: Convert to fraction form
    557.60/769.51 = 321.61/x
  3. Step 3: Cross multiply
    557.60x = 769.51 × 321.61
  4. Step 4: Simplify right side
    557.60x = 247,482.11
  5. Step 5: Solve for x
    x = 247,482.11/557.60
  6. Step 6: Final answer
    x = 443.83

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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.