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Finding the Fourth Proportional to 602.34, 902.49 and 511.02

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Solution

The fourth proportional to 602.34, 902.49 and 511.02 is: 765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.34 : 902.49 = 511.02 : x
  2. Step 2: Convert to fraction form
    602.34/902.49 = 511.02/x
  3. Step 3: Cross multiply
    602.34x = 902.49 × 511.02
  4. Step 4: Simplify right side
    602.34x = 461,190.44
  5. Step 5: Solve for x
    x = 461,190.44/602.34
  6. Step 6: Final answer
    x = 765.66

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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.