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Finding the Fourth Proportional to 601.90, 902.12 and 341.78

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Solution

The fourth proportional to 601.90, 902.12 and 341.78 is: 512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.90 : 902.12 = 341.78 : x
  2. Step 2: Convert to fraction form
    601.90/902.12 = 341.78/x
  3. Step 3: Cross multiply
    601.90x = 902.12 × 341.78
  4. Step 4: Simplify right side
    601.90x = 308,326.57
  5. Step 5: Solve for x
    x = 308,326.57/601.90
  6. Step 6: Final answer
    x = 512.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.