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Finding the Fourth Proportional to 617.67, 852.12 and 421.11

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Solution

The fourth proportional to 617.67, 852.12 and 421.11 is: 580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.67 : 852.12 = 421.11 : x
  2. Step 2: Convert to fraction form
    617.67/852.12 = 421.11/x
  3. Step 3: Cross multiply
    617.67x = 852.12 × 421.11
  4. Step 4: Simplify right side
    617.67x = 358,836.25
  5. Step 5: Solve for x
    x = 358,836.25/617.67
  6. Step 6: Final answer
    x = 580.95

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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.