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Finding the Fourth Proportional to 514.20, 767.32 and 459.50

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Solution

The fourth proportional to 514.20, 767.32 and 459.50 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.20 : 767.32 = 459.50 : x
  2. Step 2: Convert to fraction form
    514.20/767.32 = 459.50/x
  3. Step 3: Cross multiply
    514.20x = 767.32 × 459.50
  4. Step 4: Simplify right side
    514.20x = 352,583.54
  5. Step 5: Solve for x
    x = 352,583.54/514.20
  6. Step 6: Final answer
    x = 685.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.