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Finding the Fourth Proportional to 669.12, 1,002.74 and 278.70

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Solution

The fourth proportional to 669.12, 1,002.74 and 278.70 is: 417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.12 : 1,002.74 = 278.70 : x
  2. Step 2: Convert to fraction form
    669.12/1,002.74 = 278.70/x
  3. Step 3: Cross multiply
    669.12x = 1,002.74 × 278.70
  4. Step 4: Simplify right side
    669.12x = 279,458.48
  5. Step 5: Solve for x
    x = 279,458.48/669.12
  6. Step 6: Final answer
    x = 417.65

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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.