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Finding the Fourth Proportional to 602.75, 902.50 and 342.37

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Solution

The fourth proportional to 602.75, 902.50 and 342.37 is: 512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.75 : 902.50 = 342.37 : x
  2. Step 2: Convert to fraction form
    602.75/902.50 = 342.37/x
  3. Step 3: Cross multiply
    602.75x = 902.50 × 342.37
  4. Step 4: Simplify right side
    602.75x = 308,988.93
  5. Step 5: Solve for x
    x = 308,988.93/602.75
  6. Step 6: Final answer
    x = 512.63

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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.