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Finding the Fourth Proportional to 514.86, 771.53 and 350.22

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Solution

The fourth proportional to 514.86, 771.53 and 350.22 is: 524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.86 : 771.53 = 350.22 : x
  2. Step 2: Convert to fraction form
    514.86/771.53 = 350.22/x
  3. Step 3: Cross multiply
    514.86x = 771.53 × 350.22
  4. Step 4: Simplify right side
    514.86x = 270,206.38
  5. Step 5: Solve for x
    x = 270,206.38/514.86
  6. Step 6: Final answer
    x = 524.82

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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.