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Finding the Fourth Proportional to 772.24, 1,157.94 and 528.83

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Solution

The fourth proportional to 772.24, 1,157.94 and 528.83 is: 792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.24 : 1,157.94 = 528.83 : x
  2. Step 2: Convert to fraction form
    772.24/1,157.94 = 528.83/x
  3. Step 3: Cross multiply
    772.24x = 1,157.94 × 528.83
  4. Step 4: Simplify right side
    772.24x = 612,353.41
  5. Step 5: Solve for x
    x = 612,353.41/772.24
  6. Step 6: Final answer
    x = 792.96

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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.