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Finding the Fourth Proportional to 529.38, 797.22 and 514.80

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Solution

The fourth proportional to 529.38, 797.22 and 514.80 is: 775.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.38 : 797.22 = 514.80 : x
  2. Step 2: Convert to fraction form
    529.38/797.22 = 514.80/x
  3. Step 3: Cross multiply
    529.38x = 797.22 × 514.80
  4. Step 4: Simplify right side
    529.38x = 410,408.86
  5. Step 5: Solve for x
    x = 410,408.86/529.38
  6. Step 6: Final answer
    x = 775.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.