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Finding the Fourth Proportional to 1,355.78, 2,033.65 and 381.86

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Solution

The fourth proportional to 1,355.78, 2,033.65 and 381.86 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.78 : 2,033.65 = 381.86 : x
  2. Step 2: Convert to fraction form
    1,355.78/2,033.65 = 381.86/x
  3. Step 3: Cross multiply
    1,355.78x = 2,033.65 × 381.86
  4. Step 4: Simplify right side
    1,355.78x = 776,560.38
  5. Step 5: Solve for x
    x = 776,560.38/1,355.78
  6. Step 6: Final answer
    x = 572.78

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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.