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Finding the Fourth Proportional to 586.10, 878.42 and 260.79

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Solution

The fourth proportional to 586.10, 878.42 and 260.79 is: 390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.10 : 878.42 = 260.79 : x
  2. Step 2: Convert to fraction form
    586.10/878.42 = 260.79/x
  3. Step 3: Cross multiply
    586.10x = 878.42 × 260.79
  4. Step 4: Simplify right side
    586.10x = 229,081.85
  5. Step 5: Solve for x
    x = 229,081.85/586.10
  6. Step 6: Final answer
    x = 390.86

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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.