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Finding the Fourth Proportional to 617.65, 852.35 and 396.69

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Solution

The fourth proportional to 617.65, 852.35 and 396.69 is: 547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.65 : 852.35 = 396.69 : x
  2. Step 2: Convert to fraction form
    617.65/852.35 = 396.69/x
  3. Step 3: Cross multiply
    617.65x = 852.35 × 396.69
  4. Step 4: Simplify right side
    617.65x = 338,118.72
  5. Step 5: Solve for x
    x = 338,118.72/617.65
  6. Step 6: Final answer
    x = 547.43

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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.