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Finding the Fourth Proportional to 617.72, 930.94 and 581.24

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Solution

The fourth proportional to 617.72, 930.94 and 581.24 is: 875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.72 : 930.94 = 581.24 : x
  2. Step 2: Convert to fraction form
    617.72/930.94 = 581.24/x
  3. Step 3: Cross multiply
    617.72x = 930.94 × 581.24
  4. Step 4: Simplify right side
    617.72x = 541,099.57
  5. Step 5: Solve for x
    x = 541,099.57/617.72
  6. Step 6: Final answer
    x = 875.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.