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Finding the Fourth Proportional to 558.20, 770.38 and 337.08

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Solution

The fourth proportional to 558.20, 770.38 and 337.08 is: 465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.20 : 770.38 = 337.08 : x
  2. Step 2: Convert to fraction form
    558.20/770.38 = 337.08/x
  3. Step 3: Cross multiply
    558.20x = 770.38 × 337.08
  4. Step 4: Simplify right side
    558.20x = 259,679.69
  5. Step 5: Solve for x
    x = 259,679.69/558.20
  6. Step 6: Final answer
    x = 465.21

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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.