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Finding the Fourth Proportional to 602.78, 902.77 and 464.73

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Solution

The fourth proportional to 602.78, 902.77 and 464.73 is: 696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.78 : 902.77 = 464.73 : x
  2. Step 2: Convert to fraction form
    602.78/902.77 = 464.73/x
  3. Step 3: Cross multiply
    602.78x = 902.77 × 464.73
  4. Step 4: Simplify right side
    602.78x = 419,544.30
  5. Step 5: Solve for x
    x = 419,544.30/602.78
  6. Step 6: Final answer
    x = 696.02

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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.