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Finding the Fourth Proportional to 585.78, 878.94 and 369.51

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Solution

The fourth proportional to 585.78, 878.94 and 369.51 is: 554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.78 : 878.94 = 369.51 : x
  2. Step 2: Convert to fraction form
    585.78/878.94 = 369.51/x
  3. Step 3: Cross multiply
    585.78x = 878.94 × 369.51
  4. Step 4: Simplify right side
    585.78x = 324,777.12
  5. Step 5: Solve for x
    x = 324,777.12/585.78
  6. Step 6: Final answer
    x = 554.44

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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.