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Finding the Fourth Proportional to 771.28, 1,156.91 and 499.12

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Solution

The fourth proportional to 771.28, 1,156.91 and 499.12 is: 748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.28 : 1,156.91 = 499.12 : x
  2. Step 2: Convert to fraction form
    771.28/1,156.91 = 499.12/x
  3. Step 3: Cross multiply
    771.28x = 1,156.91 × 499.12
  4. Step 4: Simplify right side
    771.28x = 577,436.92
  5. Step 5: Solve for x
    x = 577,436.92/771.28
  6. Step 6: Final answer
    x = 748.67

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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.