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Finding the Fourth Proportional to 601.44, 902.96 and 385.12

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Solution

The fourth proportional to 601.44, 902.96 and 385.12 is: 578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.44 : 902.96 = 385.12 : x
  2. Step 2: Convert to fraction form
    601.44/902.96 = 385.12/x
  3. Step 3: Cross multiply
    601.44x = 902.96 × 385.12
  4. Step 4: Simplify right side
    601.44x = 347,747.96
  5. Step 5: Solve for x
    x = 347,747.96/601.44
  6. Step 6: Final answer
    x = 578.19

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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.