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Finding the Fourth Proportional to 1,452.36, 2,175.74 and 803.56

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Solution

The fourth proportional to 1,452.36, 2,175.74 and 803.56 is: 1,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.36 : 2,175.74 = 803.56 : x
  2. Step 2: Convert to fraction form
    1,452.36/2,175.74 = 803.56/x
  3. Step 3: Cross multiply
    1,452.36x = 2,175.74 × 803.56
  4. Step 4: Simplify right side
    1,452.36x = 1,748,337.63
  5. Step 5: Solve for x
    x = 1,748,337.63/1,452.36
  6. Step 6: Final answer
    x = 1,203.79

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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.