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Finding the Fourth Proportional to 635.90, 952.40 and 378.86

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Solution

The fourth proportional to 635.90, 952.40 and 378.86 is: 567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.90 : 952.40 = 378.86 : x
  2. Step 2: Convert to fraction form
    635.90/952.40 = 378.86/x
  3. Step 3: Cross multiply
    635.90x = 952.40 × 378.86
  4. Step 4: Simplify right side
    635.90x = 360,826.26
  5. Step 5: Solve for x
    x = 360,826.26/635.90
  6. Step 6: Final answer
    x = 567.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.