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Finding the Fourth Proportional to 617.95, 852.42 and 421.12

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Solution

The fourth proportional to 617.95, 852.42 and 421.12 is: 580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.95 : 852.42 = 421.12 : x
  2. Step 2: Convert to fraction form
    617.95/852.42 = 421.12/x
  3. Step 3: Cross multiply
    617.95x = 852.42 × 421.12
  4. Step 4: Simplify right side
    617.95x = 358,971.11
  5. Step 5: Solve for x
    x = 358,971.11/617.95
  6. Step 6: Final answer
    x = 580.91

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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.