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Finding the Fourth Proportional to 643.01, 963.23 and 459.81

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Solution

The fourth proportional to 643.01, 963.23 and 459.81 is: 688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.01 : 963.23 = 459.81 : x
  2. Step 2: Convert to fraction form
    643.01/963.23 = 459.81/x
  3. Step 3: Cross multiply
    643.01x = 963.23 × 459.81
  4. Step 4: Simplify right side
    643.01x = 442,900.49
  5. Step 5: Solve for x
    x = 442,900.49/643.01
  6. Step 6: Final answer
    x = 688.80

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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.