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Finding the Fourth Proportional to 659.88, 911.25 and 463.86

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Solution

The fourth proportional to 659.88, 911.25 and 463.86 is: 640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.88 : 911.25 = 463.86 : x
  2. Step 2: Convert to fraction form
    659.88/911.25 = 463.86/x
  3. Step 3: Cross multiply
    659.88x = 911.25 × 463.86
  4. Step 4: Simplify right side
    659.88x = 422,692.43
  5. Step 5: Solve for x
    x = 422,692.43/659.88
  6. Step 6: Final answer
    x = 640.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.