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Finding the Fourth Proportional to 585.22, 878.31 and 296.74

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Solution

The fourth proportional to 585.22, 878.31 and 296.74 is: 445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.22 : 878.31 = 296.74 : x
  2. Step 2: Convert to fraction form
    585.22/878.31 = 296.74/x
  3. Step 3: Cross multiply
    585.22x = 878.31 × 296.74
  4. Step 4: Simplify right side
    585.22x = 260,629.71
  5. Step 5: Solve for x
    x = 260,629.71/585.22
  6. Step 6: Final answer
    x = 445.35

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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.