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Finding the Fourth Proportional to 585.14, 878.43 and 415.22

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Solution

The fourth proportional to 585.14, 878.43 and 415.22 is: 623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.14 : 878.43 = 415.22 : x
  2. Step 2: Convert to fraction form
    585.14/878.43 = 415.22/x
  3. Step 3: Cross multiply
    585.14x = 878.43 × 415.22
  4. Step 4: Simplify right side
    585.14x = 364,741.70
  5. Step 5: Solve for x
    x = 364,741.70/585.14
  6. Step 6: Final answer
    x = 623.34

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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.