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Finding the Fourth Proportional to 617.30, 851.73 and 421.22

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Solution

The fourth proportional to 617.30, 851.73 and 421.22 is: 581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.30 : 851.73 = 421.22 : x
  2. Step 2: Convert to fraction form
    617.30/851.73 = 421.22/x
  3. Step 3: Cross multiply
    617.30x = 851.73 × 421.22
  4. Step 4: Simplify right side
    617.30x = 358,765.71
  5. Step 5: Solve for x
    x = 358,765.71/617.30
  6. Step 6: Final answer
    x = 581.19

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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.