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Finding the Fourth Proportional to 557.98, 769.91 and 321.86

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Solution

The fourth proportional to 557.98, 769.91 and 321.86 is: 444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.98 : 769.91 = 321.86 : x
  2. Step 2: Convert to fraction form
    557.98/769.91 = 321.86/x
  3. Step 3: Cross multiply
    557.98x = 769.91 × 321.86
  4. Step 4: Simplify right side
    557.98x = 247,797.77
  5. Step 5: Solve for x
    x = 247,797.77/557.98
  6. Step 6: Final answer
    x = 444.10

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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.