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Finding the Fourth Proportional to 643.16, 965.45 and 514.71

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Solution

The fourth proportional to 643.16, 965.45 and 514.71 is: 772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.16 : 965.45 = 514.71 : x
  2. Step 2: Convert to fraction form
    643.16/965.45 = 514.71/x
  3. Step 3: Cross multiply
    643.16x = 965.45 × 514.71
  4. Step 4: Simplify right side
    643.16x = 496,928.06
  5. Step 5: Solve for x
    x = 496,928.06/643.16
  6. Step 6: Final answer
    x = 772.63

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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.