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Finding the Fourth Proportional to 643.67, 964.29 and 498.68

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Solution

The fourth proportional to 643.67, 964.29 and 498.68 is: 747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.67 : 964.29 = 498.68 : x
  2. Step 2: Convert to fraction form
    643.67/964.29 = 498.68/x
  3. Step 3: Cross multiply
    643.67x = 964.29 × 498.68
  4. Step 4: Simplify right side
    643.67x = 480,872.14
  5. Step 5: Solve for x
    x = 480,872.14/643.67
  6. Step 6: Final answer
    x = 747.08

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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.