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Finding the Fourth Proportional to 438.28, 659.75 and 398.60

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Solution

The fourth proportional to 438.28, 659.75 and 398.60 is: 600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.28 : 659.75 = 398.60 : x
  2. Step 2: Convert to fraction form
    438.28/659.75 = 398.60/x
  3. Step 3: Cross multiply
    438.28x = 659.75 × 398.60
  4. Step 4: Simplify right side
    438.28x = 262,976.35
  5. Step 5: Solve for x
    x = 262,976.35/438.28
  6. Step 6: Final answer
    x = 600.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.