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Finding the Fourth Proportional to 643.15, 963.82 and 506.46

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Solution

The fourth proportional to 643.15, 963.82 and 506.46 is: 758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.15 : 963.82 = 506.46 : x
  2. Step 2: Convert to fraction form
    643.15/963.82 = 506.46/x
  3. Step 3: Cross multiply
    643.15x = 963.82 × 506.46
  4. Step 4: Simplify right side
    643.15x = 488,133.74
  5. Step 5: Solve for x
    x = 488,133.74/643.15
  6. Step 6: Final answer
    x = 758.98

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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.