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Finding the Fourth Proportional to 601.68, 902.28 and 418.64

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Solution

The fourth proportional to 601.68, 902.28 and 418.64 is: 627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.68 : 902.28 = 418.64 : x
  2. Step 2: Convert to fraction form
    601.68/902.28 = 418.64/x
  3. Step 3: Cross multiply
    601.68x = 902.28 × 418.64
  4. Step 4: Simplify right side
    601.68x = 377,730.50
  5. Step 5: Solve for x
    x = 377,730.50/601.68
  6. Step 6: Final answer
    x = 627.79

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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.