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Finding the Fourth Proportional to 669.17, 1,003.35 and 437.78

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Solution

The fourth proportional to 669.17, 1,003.35 and 437.78 is: 656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.17 : 1,003.35 = 437.78 : x
  2. Step 2: Convert to fraction form
    669.17/1,003.35 = 437.78/x
  3. Step 3: Cross multiply
    669.17x = 1,003.35 × 437.78
  4. Step 4: Simplify right side
    669.17x = 439,246.56
  5. Step 5: Solve for x
    x = 439,246.56/669.17
  6. Step 6: Final answer
    x = 656.41

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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.