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Finding the Fourth Proportional to 635.39, 876.25 and 414.26

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Solution

The fourth proportional to 635.39, 876.25 and 414.26 is: 571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.39 : 876.25 = 414.26 : x
  2. Step 2: Convert to fraction form
    635.39/876.25 = 414.26/x
  3. Step 3: Cross multiply
    635.39x = 876.25 × 414.26
  4. Step 4: Simplify right side
    635.39x = 362,995.33
  5. Step 5: Solve for x
    x = 362,995.33/635.39
  6. Step 6: Final answer
    x = 571.30

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1.5x scale

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.