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Finding the Fourth Proportional to 601.90, 902.98 and 541.42

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Solution

The fourth proportional to 601.90, 902.98 and 541.42 is: 812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.90 : 902.98 = 541.42 : x
  2. Step 2: Convert to fraction form
    601.90/902.98 = 541.42/x
  3. Step 3: Cross multiply
    601.90x = 902.98 × 541.42
  4. Step 4: Simplify right side
    601.90x = 488,891.43
  5. Step 5: Solve for x
    x = 488,891.43/601.90
  6. Step 6: Final answer
    x = 812.25

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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.