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Finding the Fourth Proportional to 558.70, 770.80 and 337.57

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Solution

The fourth proportional to 558.70, 770.80 and 337.57 is: 465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.70 : 770.80 = 337.57 : x
  2. Step 2: Convert to fraction form
    558.70/770.80 = 337.57/x
  3. Step 3: Cross multiply
    558.70x = 770.80 × 337.57
  4. Step 4: Simplify right side
    558.70x = 260,196.19
  5. Step 5: Solve for x
    x = 260,196.19/558.70
  6. Step 6: Final answer
    x = 465.72

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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.