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Finding the Fourth Proportional to 712.80, 1,066.77 and 481.14

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Solution

The fourth proportional to 712.80, 1,066.77 and 481.14 is: 720.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.80 : 1,066.77 = 481.14 : x
  2. Step 2: Convert to fraction form
    712.80/1,066.77 = 481.14/x
  3. Step 3: Cross multiply
    712.80x = 1,066.77 × 481.14
  4. Step 4: Simplify right side
    712.80x = 513,265.72
  5. Step 5: Solve for x
    x = 513,265.72/712.80
  6. Step 6: Final answer
    x = 720.07

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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.