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Finding the Fourth Proportional to 585.72, 878.76 and 573.44

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Solution

The fourth proportional to 585.72, 878.76 and 573.44 is: 860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.72 : 878.76 = 573.44 : x
  2. Step 2: Convert to fraction form
    585.72/878.76 = 573.44/x
  3. Step 3: Cross multiply
    585.72x = 878.76 × 573.44
  4. Step 4: Simplify right side
    585.72x = 503,916.13
  5. Step 5: Solve for x
    x = 503,916.13/585.72
  6. Step 6: Final answer
    x = 860.34

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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.