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Finding the Fourth Proportional to 613.87, 921.45 and 306.07

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Solution

The fourth proportional to 613.87, 921.45 and 306.07 is: 459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.87 : 921.45 = 306.07 : x
  2. Step 2: Convert to fraction form
    613.87/921.45 = 306.07/x
  3. Step 3: Cross multiply
    613.87x = 921.45 × 306.07
  4. Step 4: Simplify right side
    613.87x = 282,028.20
  5. Step 5: Solve for x
    x = 282,028.20/613.87
  6. Step 6: Final answer
    x = 459.43

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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.