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Finding the Fourth Proportional to 602.37, 902.61 and 342.21

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Solution

The fourth proportional to 602.37, 902.61 and 342.21 is: 512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.37 : 902.61 = 342.21 : x
  2. Step 2: Convert to fraction form
    602.37/902.61 = 342.21/x
  3. Step 3: Cross multiply
    602.37x = 902.61 × 342.21
  4. Step 4: Simplify right side
    602.37x = 308,882.17
  5. Step 5: Solve for x
    x = 308,882.17/602.37
  6. Step 6: Final answer
    x = 512.78

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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.