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Finding the Fourth Proportional to 761.96, 1,143.04 and 716.42

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Solution

The fourth proportional to 761.96, 1,143.04 and 716.42 is: 1,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.96 : 1,143.04 = 716.42 : x
  2. Step 2: Convert to fraction form
    761.96/1,143.04 = 716.42/x
  3. Step 3: Cross multiply
    761.96x = 1,143.04 × 716.42
  4. Step 4: Simplify right side
    761.96x = 818,896.72
  5. Step 5: Solve for x
    x = 818,896.72/761.96
  6. Step 6: Final answer
    x = 1,074.72

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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.