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Finding the Fourth Proportional to 608.42, 911.10 and 402.37

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Solution

The fourth proportional to 608.42, 911.10 and 402.37 is: 602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.42 : 911.10 = 402.37 : x
  2. Step 2: Convert to fraction form
    608.42/911.10 = 402.37/x
  3. Step 3: Cross multiply
    608.42x = 911.10 × 402.37
  4. Step 4: Simplify right side
    608.42x = 366,596.27
  5. Step 5: Solve for x
    x = 366,596.27/608.42
  6. Step 6: Final answer
    x = 602.53

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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.