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Finding the Fourth Proportional to 843.03, 1,262.80 and 781.52

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Solution

The fourth proportional to 843.03, 1,262.80 and 781.52 is: 1,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.03 : 1,262.80 = 781.52 : x
  2. Step 2: Convert to fraction form
    843.03/1,262.80 = 781.52/x
  3. Step 3: Cross multiply
    843.03x = 1,262.80 × 781.52
  4. Step 4: Simplify right side
    843.03x = 986,898.12
  5. Step 5: Solve for x
    x = 986,898.12/843.03
  6. Step 6: Final answer
    x = 1,170.66

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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.