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Finding the Fourth Proportional to 712.40, 1,066.37 and 539.71

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Solution

The fourth proportional to 712.40, 1,066.37 and 539.71 is: 807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.40 : 1,066.37 = 539.71 : x
  2. Step 2: Convert to fraction form
    712.40/1,066.37 = 539.71/x
  3. Step 3: Cross multiply
    712.40x = 1,066.37 × 539.71
  4. Step 4: Simplify right side
    712.40x = 575,525.19
  5. Step 5: Solve for x
    x = 575,525.19/712.40
  6. Step 6: Final answer
    x = 807.87

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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.