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Finding the Fourth Proportional to 635.14, 875.91 and 414.01

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Solution

The fourth proportional to 635.14, 875.91 and 414.01 is: 570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.14 : 875.91 = 414.01 : x
  2. Step 2: Convert to fraction form
    635.14/875.91 = 414.01/x
  3. Step 3: Cross multiply
    635.14x = 875.91 × 414.01
  4. Step 4: Simplify right side
    635.14x = 362,635.50
  5. Step 5: Solve for x
    x = 362,635.50/635.14
  6. Step 6: Final answer
    x = 570.95

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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.