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Finding the Fourth Proportional to 585.17, 877.65 and 219.88

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Solution

The fourth proportional to 585.17, 877.65 and 219.88 is: 329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.17 : 877.65 = 219.88 : x
  2. Step 2: Convert to fraction form
    585.17/877.65 = 219.88/x
  3. Step 3: Cross multiply
    585.17x = 877.65 × 219.88
  4. Step 4: Simplify right side
    585.17x = 192,977.68
  5. Step 5: Solve for x
    x = 192,977.68/585.17
  6. Step 6: Final answer
    x = 329.78

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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.