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Finding the Fourth Proportional to 613.96, 921.14 and 438.39

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Solution

The fourth proportional to 613.96, 921.14 and 438.39 is: 657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.96 : 921.14 = 438.39 : x
  2. Step 2: Convert to fraction form
    613.96/921.14 = 438.39/x
  3. Step 3: Cross multiply
    613.96x = 921.14 × 438.39
  4. Step 4: Simplify right side
    613.96x = 403,818.02
  5. Step 5: Solve for x
    x = 403,818.02/613.96
  6. Step 6: Final answer
    x = 657.73

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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.