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Finding the Fourth Proportional to 669.14, 1,002.79 and 376.78

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Solution

The fourth proportional to 669.14, 1,002.79 and 376.78 is: 564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.14 : 1,002.79 = 376.78 : x
  2. Step 2: Convert to fraction form
    669.14/1,002.79 = 376.78/x
  3. Step 3: Cross multiply
    669.14x = 1,002.79 × 376.78
  4. Step 4: Simplify right side
    669.14x = 377,827.77
  5. Step 5: Solve for x
    x = 377,827.77/669.14
  6. Step 6: Final answer
    x = 564.65

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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.