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Finding the Fourth Proportional to 585.65, 878.67 and 260.97

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Solution

The fourth proportional to 585.65, 878.67 and 260.97 is: 391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.65 : 878.67 = 260.97 : x
  2. Step 2: Convert to fraction form
    585.65/878.67 = 260.97/x
  3. Step 3: Cross multiply
    585.65x = 878.67 × 260.97
  4. Step 4: Simplify right side
    585.65x = 229,306.51
  5. Step 5: Solve for x
    x = 229,306.51/585.65
  6. Step 6: Final answer
    x = 391.55

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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.