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Finding the Fourth Proportional to 1,115.04, 1,672.83 and 335.04

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Solution

The fourth proportional to 1,115.04, 1,672.83 and 335.04 is: 502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.04 : 1,672.83 = 335.04 : x
  2. Step 2: Convert to fraction form
    1,115.04/1,672.83 = 335.04/x
  3. Step 3: Cross multiply
    1,115.04x = 1,672.83 × 335.04
  4. Step 4: Simplify right side
    1,115.04x = 560,464.96
  5. Step 5: Solve for x
    x = 560,464.96/1,115.04
  6. Step 6: Final answer
    x = 502.64

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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.