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Finding the Fourth Proportional to 558.62, 770.60 and 337.49

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Solution

The fourth proportional to 558.62, 770.60 and 337.49 is: 465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.62 : 770.60 = 337.49 : x
  2. Step 2: Convert to fraction form
    558.62/770.60 = 337.49/x
  3. Step 3: Cross multiply
    558.62x = 770.60 × 337.49
  4. Step 4: Simplify right side
    558.62x = 260,064.25
  5. Step 5: Solve for x
    x = 260,064.25/558.62
  6. Step 6: Final answer
    x = 465.55

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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.