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Finding the Fourth Proportional to 671.19, 925.84 and 422.08

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Solution

The fourth proportional to 671.19, 925.84 and 422.08 is: 582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.19 : 925.84 = 422.08 : x
  2. Step 2: Convert to fraction form
    671.19/925.84 = 422.08/x
  3. Step 3: Cross multiply
    671.19x = 925.84 × 422.08
  4. Step 4: Simplify right side
    671.19x = 390,775.18
  5. Step 5: Solve for x
    x = 390,775.18/671.19
  6. Step 6: Final answer
    x = 582.21

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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.