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Finding the Fourth Proportional to 558, 770.04 and 321.80

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Solution

The fourth proportional to 558, 770.04 and 321.80 is: 444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    558 : 770.04 = 321.80 : x
  2. Step 2: Convert to fraction form
    558/770.04 = 321.80/x
  3. Step 3: Cross multiply
    558x = 770.04 × 321.80
  4. Step 4: Simplify right side
    558x = 247,798.87
  5. Step 5: Solve for x
    x = 247,798.87/558
  6. Step 6: Final answer
    x = 444.08

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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.