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Finding the Fourth Proportional to 617.63, 851.87 and 381.46

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Solution

The fourth proportional to 617.63, 851.87 and 381.46 is: 526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.63 : 851.87 = 381.46 : x
  2. Step 2: Convert to fraction form
    617.63/851.87 = 381.46/x
  3. Step 3: Cross multiply
    617.63x = 851.87 × 381.46
  4. Step 4: Simplify right side
    617.63x = 324,952.61
  5. Step 5: Solve for x
    x = 324,952.61/617.63
  6. Step 6: Final answer
    x = 526.13

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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.