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Finding the Fourth Proportional to 585.68, 878.75 and 277.37

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Solution

The fourth proportional to 585.68, 878.75 and 277.37 is: 416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.68 : 878.75 = 277.37 : x
  2. Step 2: Convert to fraction form
    585.68/878.75 = 277.37/x
  3. Step 3: Cross multiply
    585.68x = 878.75 × 277.37
  4. Step 4: Simplify right side
    585.68x = 243,742.39
  5. Step 5: Solve for x
    x = 243,742.39/585.68
  6. Step 6: Final answer
    x = 416.17

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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.