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Finding the Fourth Proportional to 1,066.97, 1,468.15 and 818.19

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Solution

The fourth proportional to 1,066.97, 1,468.15 and 818.19 is: 1,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.97 : 1,468.15 = 818.19 : x
  2. Step 2: Convert to fraction form
    1,066.97/1,468.15 = 818.19/x
  3. Step 3: Cross multiply
    1,066.97x = 1,468.15 × 818.19
  4. Step 4: Simplify right side
    1,066.97x = 1,201,221.56
  5. Step 5: Solve for x
    x = 1,201,221.56/1,066.97
  6. Step 6: Final answer
    x = 1,125.83

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1.5x scale

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.