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Finding the Fourth Proportional to 811.42, 1,118.81 and 767.64

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Solution

The fourth proportional to 811.42, 1,118.81 and 767.64 is: 1,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.42 : 1,118.81 = 767.64 : x
  2. Step 2: Convert to fraction form
    811.42/1,118.81 = 767.64/x
  3. Step 3: Cross multiply
    811.42x = 1,118.81 × 767.64
  4. Step 4: Simplify right side
    811.42x = 858,849.42
  5. Step 5: Solve for x
    x = 858,849.42/811.42
  6. Step 6: Final answer
    x = 1,058.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.