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Finding the Fourth Proportional to 669.22, 923.06 and 614.14

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Solution

The fourth proportional to 669.22, 923.06 and 614.14 is: 847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.22 : 923.06 = 614.14 : x
  2. Step 2: Convert to fraction form
    669.22/923.06 = 614.14/x
  3. Step 3: Cross multiply
    669.22x = 923.06 × 614.14
  4. Step 4: Simplify right side
    669.22x = 566,888.07
  5. Step 5: Solve for x
    x = 566,888.07/669.22
  6. Step 6: Final answer
    x = 847.09

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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.