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Finding the Fourth Proportional to 712.56, 1,066.01 and 539.73

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Solution

The fourth proportional to 712.56, 1,066.01 and 539.73 is: 807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.56 : 1,066.01 = 539.73 : x
  2. Step 2: Convert to fraction form
    712.56/1,066.01 = 539.73/x
  3. Step 3: Cross multiply
    712.56x = 1,066.01 × 539.73
  4. Step 4: Simplify right side
    712.56x = 575,352.25
  5. Step 5: Solve for x
    x = 575,352.25/712.56
  6. Step 6: Final answer
    x = 807.44

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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.