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Finding the Fourth Proportional to 655.13, 904.28 and 422.25

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Solution

The fourth proportional to 655.13, 904.28 and 422.25 is: 582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.13 : 904.28 = 422.25 : x
  2. Step 2: Convert to fraction form
    655.13/904.28 = 422.25/x
  3. Step 3: Cross multiply
    655.13x = 904.28 × 422.25
  4. Step 4: Simplify right side
    655.13x = 381,830.12
  5. Step 5: Solve for x
    x = 381,830.12/655.13
  6. Step 6: Final answer
    x = 582.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.