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Finding the Fourth Proportional to 655.60, 904.26 and 422.50

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Solution

The fourth proportional to 655.60, 904.26 and 422.50 is: 582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.60 : 904.26 = 422.50 : x
  2. Step 2: Convert to fraction form
    655.60/904.26 = 422.50/x
  3. Step 3: Cross multiply
    655.60x = 904.26 × 422.50
  4. Step 4: Simplify right side
    655.60x = 382,049.85
  5. Step 5: Solve for x
    x = 382,049.85/655.60
  6. Step 6: Final answer
    x = 582.75

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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.