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Finding the Fourth Proportional to 514.24, 772.98 and 446.60

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Solution

The fourth proportional to 514.24, 772.98 and 446.60 is: 671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.24 : 772.98 = 446.60 : x
  2. Step 2: Convert to fraction form
    514.24/772.98 = 446.60/x
  3. Step 3: Cross multiply
    514.24x = 772.98 × 446.60
  4. Step 4: Simplify right side
    514.24x = 345,212.87
  5. Step 5: Solve for x
    x = 345,212.87/514.24
  6. Step 6: Final answer
    x = 671.31

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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.