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Finding the Fourth Proportional to 585.90, 878.31 and 261.63

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Solution

The fourth proportional to 585.90, 878.31 and 261.63 is: 392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.90 : 878.31 = 261.63 : x
  2. Step 2: Convert to fraction form
    585.90/878.31 = 261.63/x
  3. Step 3: Cross multiply
    585.90x = 878.31 × 261.63
  4. Step 4: Simplify right side
    585.90x = 229,792.25
  5. Step 5: Solve for x
    x = 229,792.25/585.90
  6. Step 6: Final answer
    x = 392.20

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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.