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Finding the Fourth Proportional to 1,086.64, 1,629.92 and 437.20

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Solution

The fourth proportional to 1,086.64, 1,629.92 and 437.20 is: 655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.64 : 1,629.92 = 437.20 : x
  2. Step 2: Convert to fraction form
    1,086.64/1,629.92 = 437.20/x
  3. Step 3: Cross multiply
    1,086.64x = 1,629.92 × 437.20
  4. Step 4: Simplify right side
    1,086.64x = 712,601.02
  5. Step 5: Solve for x
    x = 712,601.02/1,086.64
  6. Step 6: Final answer
    x = 655.78

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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.