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Finding the Fourth Proportional to 657.23, 985.51 and 407.09

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Solution

The fourth proportional to 657.23, 985.51 and 407.09 is: 610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.23 : 985.51 = 407.09 : x
  2. Step 2: Convert to fraction form
    657.23/985.51 = 407.09/x
  3. Step 3: Cross multiply
    657.23x = 985.51 × 407.09
  4. Step 4: Simplify right side
    657.23x = 401,189.82
  5. Step 5: Solve for x
    x = 401,189.82/657.23
  6. Step 6: Final answer
    x = 610.43

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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.