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Finding the Fourth Proportional to 643.48, 888.14 and 495.88

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Solution

The fourth proportional to 643.48, 888.14 and 495.88 is: 684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.48 : 888.14 = 495.88 : x
  2. Step 2: Convert to fraction form
    643.48/888.14 = 495.88/x
  3. Step 3: Cross multiply
    643.48x = 888.14 × 495.88
  4. Step 4: Simplify right side
    643.48x = 440,410.86
  5. Step 5: Solve for x
    x = 440,410.86/643.48
  6. Step 6: Final answer
    x = 684.42

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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.