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Finding the Fourth Proportional to 771.38, 1,157.81 and 552.23

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Solution

The fourth proportional to 771.38, 1,157.81 and 552.23 is: 828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.38 : 1,157.81 = 552.23 : x
  2. Step 2: Convert to fraction form
    771.38/1,157.81 = 552.23/x
  3. Step 3: Cross multiply
    771.38x = 1,157.81 × 552.23
  4. Step 4: Simplify right side
    771.38x = 639,368.87
  5. Step 5: Solve for x
    x = 639,368.87/771.38
  6. Step 6: Final answer
    x = 828.87

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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.