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Finding the Fourth Proportional to 585.30, 878.25 and 390.44

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Solution

The fourth proportional to 585.30, 878.25 and 390.44 is: 585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.30 : 878.25 = 390.44 : x
  2. Step 2: Convert to fraction form
    585.30/878.25 = 390.44/x
  3. Step 3: Cross multiply
    585.30x = 878.25 × 390.44
  4. Step 4: Simplify right side
    585.30x = 342,903.93
  5. Step 5: Solve for x
    x = 342,903.93/585.30
  6. Step 6: Final answer
    x = 585.86

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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.