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Finding the Fourth Proportional to 669.14, 922.89 and 511.38

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Solution

The fourth proportional to 669.14, 922.89 and 511.38 is: 705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.14 : 922.89 = 511.38 : x
  2. Step 2: Convert to fraction form
    669.14/922.89 = 511.38/x
  3. Step 3: Cross multiply
    669.14x = 922.89 × 511.38
  4. Step 4: Simplify right side
    669.14x = 471,948.77
  5. Step 5: Solve for x
    x = 471,948.77/669.14
  6. Step 6: Final answer
    x = 705.31

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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.