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Finding the Fourth Proportional to 421.56, 635.54 and 395.17

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Solution

The fourth proportional to 421.56, 635.54 and 395.17 is: 595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.56 : 635.54 = 395.17 : x
  2. Step 2: Convert to fraction form
    421.56/635.54 = 395.17/x
  3. Step 3: Cross multiply
    421.56x = 635.54 × 395.17
  4. Step 4: Simplify right side
    421.56x = 251,142.78
  5. Step 5: Solve for x
    x = 251,142.78/421.56
  6. Step 6: Final answer
    x = 595.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.