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Finding the Fourth Proportional to 1,785.73, 2,678.85 and 553.24

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Solution

The fourth proportional to 1,785.73, 2,678.85 and 553.24 is: 829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.73 : 2,678.85 = 553.24 : x
  2. Step 2: Convert to fraction form
    1,785.73/2,678.85 = 553.24/x
  3. Step 3: Cross multiply
    1,785.73x = 2,678.85 × 553.24
  4. Step 4: Simplify right side
    1,785.73x = 1,482,046.97
  5. Step 5: Solve for x
    x = 1,482,046.97/1,785.73
  6. Step 6: Final answer
    x = 829.94

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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.