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Finding the Fourth Proportional to 585.72, 878.12 and 277.70

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Solution

The fourth proportional to 585.72, 878.12 and 277.70 is: 416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.72 : 878.12 = 277.70 : x
  2. Step 2: Convert to fraction form
    585.72/878.12 = 277.70/x
  3. Step 3: Cross multiply
    585.72x = 878.12 × 277.70
  4. Step 4: Simplify right side
    585.72x = 243,853.92
  5. Step 5: Solve for x
    x = 243,853.92/585.72
  6. Step 6: Final answer
    x = 416.33

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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.