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Finding the Fourth Proportional to 657.27, 905.75 and 614.45

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Solution

The fourth proportional to 657.27, 905.75 and 614.45 is: 846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.27 : 905.75 = 614.45 : x
  2. Step 2: Convert to fraction form
    657.27/905.75 = 614.45/x
  3. Step 3: Cross multiply
    657.27x = 905.75 × 614.45
  4. Step 4: Simplify right side
    657.27x = 556,530.49
  5. Step 5: Solve for x
    x = 556,530.49/657.27
  6. Step 6: Final answer
    x = 846.73

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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.