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Finding the Fourth Proportional to 655, 904.10 and 422.13

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Solution

The fourth proportional to 655, 904.10 and 422.13 is: 582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655 : 904.10 = 422.13 : x
  2. Step 2: Convert to fraction form
    655/904.10 = 422.13/x
  3. Step 3: Cross multiply
    655x = 904.10 × 422.13
  4. Step 4: Simplify right side
    655x = 381,644.27
  5. Step 5: Solve for x
    x = 381,644.27/655
  6. Step 6: Final answer
    x = 582.66

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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.