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Finding the Fourth Proportional to 617.42, 852.03 and 337.66

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Solution

The fourth proportional to 617.42, 852.03 and 337.66 is: 465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.42 : 852.03 = 337.66 : x
  2. Step 2: Convert to fraction form
    617.42/852.03 = 337.66/x
  3. Step 3: Cross multiply
    617.42x = 852.03 × 337.66
  4. Step 4: Simplify right side
    617.42x = 287,692.19
  5. Step 5: Solve for x
    x = 287,692.19/617.42
  6. Step 6: Final answer
    x = 465.96

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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.