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Finding the Fourth Proportional to 776.62, 1,165.56 and 533.44

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Solution

The fourth proportional to 776.62, 1,165.56 and 533.44 is: 800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.62 : 1,165.56 = 533.44 : x
  2. Step 2: Convert to fraction form
    776.62/1,165.56 = 533.44/x
  3. Step 3: Cross multiply
    776.62x = 1,165.56 × 533.44
  4. Step 4: Simplify right side
    776.62x = 621,756.33
  5. Step 5: Solve for x
    x = 621,756.33/776.62
  6. Step 6: Final answer
    x = 800.59

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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.