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Finding the Fourth Proportional to 1,381.79, 2,072.45 and 394.53

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Solution

The fourth proportional to 1,381.79, 2,072.45 and 394.53 is: 591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.79 : 2,072.45 = 394.53 : x
  2. Step 2: Convert to fraction form
    1,381.79/2,072.45 = 394.53/x
  3. Step 3: Cross multiply
    1,381.79x = 2,072.45 × 394.53
  4. Step 4: Simplify right side
    1,381.79x = 817,641.73
  5. Step 5: Solve for x
    x = 817,641.73/1,381.79
  6. Step 6: Final answer
    x = 591.73

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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.