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Finding the Fourth Proportional to 772.78, 1,157.12 and 529.78

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Solution

The fourth proportional to 772.78, 1,157.12 and 529.78 is: 793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.78 : 1,157.12 = 529.78 : x
  2. Step 2: Convert to fraction form
    772.78/1,157.12 = 529.78/x
  3. Step 3: Cross multiply
    772.78x = 1,157.12 × 529.78
  4. Step 4: Simplify right side
    772.78x = 613,019.03
  5. Step 5: Solve for x
    x = 613,019.03/772.78
  6. Step 6: Final answer
    x = 793.26

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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.