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Finding the Fourth Proportional to 657.65, 987.39 and 333.25

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Solution

The fourth proportional to 657.65, 987.39 and 333.25 is: 500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.65 : 987.39 = 333.25 : x
  2. Step 2: Convert to fraction form
    657.65/987.39 = 333.25/x
  3. Step 3: Cross multiply
    657.65x = 987.39 × 333.25
  4. Step 4: Simplify right side
    657.65x = 329,045.25
  5. Step 5: Solve for x
    x = 329,045.25/657.65
  6. Step 6: Final answer
    x = 500.33

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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.