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Finding the Fourth Proportional to 617.78, 852.17 and 381.66

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Solution

The fourth proportional to 617.78, 852.17 and 381.66 is: 526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.78 : 852.17 = 381.66 : x
  2. Step 2: Convert to fraction form
    617.78/852.17 = 381.66/x
  3. Step 3: Cross multiply
    617.78x = 852.17 × 381.66
  4. Step 4: Simplify right side
    617.78x = 325,237.29
  5. Step 5: Solve for x
    x = 325,237.29/617.78
  6. Step 6: Final answer
    x = 526.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.