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Finding the Fourth Proportional to 768.69, 1,059.26 and 535.41

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Solution

The fourth proportional to 768.69, 1,059.26 and 535.41 is: 737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.69 : 1,059.26 = 535.41 : x
  2. Step 2: Convert to fraction form
    768.69/1,059.26 = 535.41/x
  3. Step 3: Cross multiply
    768.69x = 1,059.26 × 535.41
  4. Step 4: Simplify right side
    768.69x = 567,133.10
  5. Step 5: Solve for x
    x = 567,133.10/768.69
  6. Step 6: Final answer
    x = 737.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.