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Finding the Fourth Proportional to 504.57, 755.69 and 422.55

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Solution

The fourth proportional to 504.57, 755.69 and 422.55 is: 632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.57 : 755.69 = 422.55 : x
  2. Step 2: Convert to fraction form
    504.57/755.69 = 422.55/x
  3. Step 3: Cross multiply
    504.57x = 755.69 × 422.55
  4. Step 4: Simplify right side
    504.57x = 319,320.86
  5. Step 5: Solve for x
    x = 319,320.86/504.57
  6. Step 6: Final answer
    x = 632.86

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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.