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Finding the Fourth Proportional to 1,604.64, 2,406.96 and 824.52

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Solution

The fourth proportional to 1,604.64, 2,406.96 and 824.52 is: 1,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.64 : 2,406.96 = 824.52 : x
  2. Step 2: Convert to fraction form
    1,604.64/2,406.96 = 824.52/x
  3. Step 3: Cross multiply
    1,604.64x = 2,406.96 × 824.52
  4. Step 4: Simplify right side
    1,604.64x = 1,984,586.66
  5. Step 5: Solve for x
    x = 1,984,586.66/1,604.64
  6. Step 6: Final answer
    x = 1,236.78

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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.