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Finding the Fourth Proportional to 871.46, 1,313.08 and 720.76

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Solution

The fourth proportional to 871.46, 1,313.08 and 720.76 is: 1,086.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.46 : 1,313.08 = 720.76 : x
  2. Step 2: Convert to fraction form
    871.46/1,313.08 = 720.76/x
  3. Step 3: Cross multiply
    871.46x = 1,313.08 × 720.76
  4. Step 4: Simplify right side
    871.46x = 946,415.54
  5. Step 5: Solve for x
    x = 946,415.54/871.46
  6. Step 6: Final answer
    x = 1,086.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.