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Finding the Fourth Proportional to 657.24, 985.80 and 439.26

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Solution

The fourth proportional to 657.24, 985.80 and 439.26 is: 658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.24 : 985.80 = 439.26 : x
  2. Step 2: Convert to fraction form
    657.24/985.80 = 439.26/x
  3. Step 3: Cross multiply
    657.24x = 985.80 × 439.26
  4. Step 4: Simplify right side
    657.24x = 433,022.51
  5. Step 5: Solve for x
    x = 433,022.51/657.24
  6. Step 6: Final answer
    x = 658.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.