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Finding the Fourth Proportional to 558, 770.06 and 321.94

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Solution

The fourth proportional to 558, 770.06 and 321.94 is: 444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    558 : 770.06 = 321.94 : x
  2. Step 2: Convert to fraction form
    558/770.06 = 321.94/x
  3. Step 3: Cross multiply
    558x = 770.06 × 321.94
  4. Step 4: Simplify right side
    558x = 247,913.12
  5. Step 5: Solve for x
    x = 247,913.12/558
  6. Step 6: Final answer
    x = 444.29

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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.