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Finding the Fourth Proportional to 614.90, 849.25 and 476.69

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Solution

The fourth proportional to 614.90, 849.25 and 476.69 is: 658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.90 : 849.25 = 476.69 : x
  2. Step 2: Convert to fraction form
    614.90/849.25 = 476.69/x
  3. Step 3: Cross multiply
    614.90x = 849.25 × 476.69
  4. Step 4: Simplify right side
    614.90x = 404,828.98
  5. Step 5: Solve for x
    x = 404,828.98/614.90
  6. Step 6: Final answer
    x = 658.37

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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.