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Finding the Fourth Proportional to 617.64, 851.94 and 421.26

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Solution

The fourth proportional to 617.64, 851.94 and 421.26 is: 581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.64 : 851.94 = 421.26 : x
  2. Step 2: Convert to fraction form
    617.64/851.94 = 421.26/x
  3. Step 3: Cross multiply
    617.64x = 851.94 × 421.26
  4. Step 4: Simplify right side
    617.64x = 358,888.24
  5. Step 5: Solve for x
    x = 358,888.24/617.64
  6. Step 6: Final answer
    x = 581.06

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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.