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Finding the Fourth Proportional to 602.39, 905.20 and 505.32

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Solution

The fourth proportional to 602.39, 905.20 and 505.32 is: 759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.39 : 905.20 = 505.32 : x
  2. Step 2: Convert to fraction form
    602.39/905.20 = 505.32/x
  3. Step 3: Cross multiply
    602.39x = 905.20 × 505.32
  4. Step 4: Simplify right side
    602.39x = 457,414.40
  5. Step 5: Solve for x
    x = 457,414.40/602.39
  6. Step 6: Final answer
    x = 759.34

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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.