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Finding the Fourth Proportional to 601.20, 902.39 and 428.07

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Solution

The fourth proportional to 601.20, 902.39 and 428.07 is: 642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.20 : 902.39 = 428.07 : x
  2. Step 2: Convert to fraction form
    601.20/902.39 = 428.07/x
  3. Step 3: Cross multiply
    601.20x = 902.39 × 428.07
  4. Step 4: Simplify right side
    601.20x = 386,283.95
  5. Step 5: Solve for x
    x = 386,283.95/601.20
  6. Step 6: Final answer
    x = 642.52

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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.