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Finding the Fourth Proportional to 608.28, 912.68 and 402.92

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Solution

The fourth proportional to 608.28, 912.68 and 402.92 is: 604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.28 : 912.68 = 402.92 : x
  2. Step 2: Convert to fraction form
    608.28/912.68 = 402.92/x
  3. Step 3: Cross multiply
    608.28x = 912.68 × 402.92
  4. Step 4: Simplify right side
    608.28x = 367,737.03
  5. Step 5: Solve for x
    x = 367,737.03/608.28
  6. Step 6: Final answer
    x = 604.55

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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.