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Finding the Fourth Proportional to 803.48, 1,198.66 and 781.16

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Solution

The fourth proportional to 803.48, 1,198.66 and 781.16 is: 1,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.48 : 1,198.66 = 781.16 : x
  2. Step 2: Convert to fraction form
    803.48/1,198.66 = 781.16/x
  3. Step 3: Cross multiply
    803.48x = 1,198.66 × 781.16
  4. Step 4: Simplify right side
    803.48x = 936,345.25
  5. Step 5: Solve for x
    x = 936,345.25/803.48
  6. Step 6: Final answer
    x = 1,165.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.