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Finding the Fourth Proportional to 604.72, 834.78 and 395.02

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Solution

The fourth proportional to 604.72, 834.78 and 395.02 is: 545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.72 : 834.78 = 395.02 : x
  2. Step 2: Convert to fraction form
    604.72/834.78 = 395.02/x
  3. Step 3: Cross multiply
    604.72x = 834.78 × 395.02
  4. Step 4: Simplify right side
    604.72x = 329,754.80
  5. Step 5: Solve for x
    x = 329,754.80/604.72
  6. Step 6: Final answer
    x = 545.30

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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.