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Finding the Fourth Proportional to 421.64, 635.72 and 416.20

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Solution

The fourth proportional to 421.64, 635.72 and 416.20 is: 627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.64 : 635.72 = 416.20 : x
  2. Step 2: Convert to fraction form
    421.64/635.72 = 416.20/x
  3. Step 3: Cross multiply
    421.64x = 635.72 × 416.20
  4. Step 4: Simplify right side
    421.64x = 264,586.66
  5. Step 5: Solve for x
    x = 264,586.66/421.64
  6. Step 6: Final answer
    x = 627.52

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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.