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Finding the Fourth Proportional to 602, 901.12 and 418.48

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Solution

The fourth proportional to 602, 901.12 and 418.48 is: 626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    602 : 901.12 = 418.48 : x
  2. Step 2: Convert to fraction form
    602/901.12 = 418.48/x
  3. Step 3: Cross multiply
    602x = 901.12 × 418.48
  4. Step 4: Simplify right side
    602x = 377,100.70
  5. Step 5: Solve for x
    x = 377,100.70/602
  6. Step 6: Final answer
    x = 626.41

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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.