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Finding the Fourth Proportional to 602.43, 901.94 and 396.38

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Solution

The fourth proportional to 602.43, 901.94 and 396.38 is: 593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.43 : 901.94 = 396.38 : x
  2. Step 2: Convert to fraction form
    602.43/901.94 = 396.38/x
  3. Step 3: Cross multiply
    602.43x = 901.94 × 396.38
  4. Step 4: Simplify right side
    602.43x = 357,506.18
  5. Step 5: Solve for x
    x = 357,506.18/602.43
  6. Step 6: Final answer
    x = 593.44

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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.