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Finding the Fourth Proportional to 617.10, 851.44 and 380.98

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Solution

The fourth proportional to 617.10, 851.44 and 380.98 is: 525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 851.44 = 380.98 : x
  2. Step 2: Convert to fraction form
    617.10/851.44 = 380.98/x
  3. Step 3: Cross multiply
    617.10x = 851.44 × 380.98
  4. Step 4: Simplify right side
    617.10x = 324,381.61
  5. Step 5: Solve for x
    x = 324,381.61/617.10
  6. Step 6: Final answer
    x = 525.65

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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.