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Finding the Fourth Proportional to 832.03, 1,244.40 and 805.30

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Solution

The fourth proportional to 832.03, 1,244.40 and 805.30 is: 1,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.03 : 1,244.40 = 805.30 : x
  2. Step 2: Convert to fraction form
    832.03/1,244.40 = 805.30/x
  3. Step 3: Cross multiply
    832.03x = 1,244.40 × 805.30
  4. Step 4: Simplify right side
    832.03x = 1,002,115.32
  5. Step 5: Solve for x
    x = 1,002,115.32/832.03
  6. Step 6: Final answer
    x = 1,204.42

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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.