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Finding the Fourth Proportional to 460.12, 635.88 and 416.20

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Solution

The fourth proportional to 460.12, 635.88 and 416.20 is: 575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.12 : 635.88 = 416.20 : x
  2. Step 2: Convert to fraction form
    460.12/635.88 = 416.20/x
  3. Step 3: Cross multiply
    460.12x = 635.88 × 416.20
  4. Step 4: Simplify right side
    460.12x = 264,653.26
  5. Step 5: Solve for x
    x = 264,653.26/460.12
  6. Step 6: Final answer
    x = 575.18

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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.