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Finding the Fourth Proportional to 613.74, 921.83 and 382.76

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Solution

The fourth proportional to 613.74, 921.83 and 382.76 is: 574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.74 : 921.83 = 382.76 : x
  2. Step 2: Convert to fraction form
    613.74/921.83 = 382.76/x
  3. Step 3: Cross multiply
    613.74x = 921.83 × 382.76
  4. Step 4: Simplify right side
    613.74x = 352,833.13
  5. Step 5: Solve for x
    x = 352,833.13/613.74
  6. Step 6: Final answer
    x = 574.89

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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.