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Finding the Fourth Proportional to 769.24, 1,060.30 and 533.54

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Solution

The fourth proportional to 769.24, 1,060.30 and 533.54 is: 735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.24 : 1,060.30 = 533.54 : x
  2. Step 2: Convert to fraction form
    769.24/1,060.30 = 533.54/x
  3. Step 3: Cross multiply
    769.24x = 1,060.30 × 533.54
  4. Step 4: Simplify right side
    769.24x = 565,712.46
  5. Step 5: Solve for x
    x = 565,712.46/769.24
  6. Step 6: Final answer
    x = 735.42

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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.