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Finding the Fourth Proportional to 769.01, 1,060.83 and 533.18

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Solution

The fourth proportional to 769.01, 1,060.83 and 533.18 is: 735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.01 : 1,060.83 = 533.18 : x
  2. Step 2: Convert to fraction form
    769.01/1,060.83 = 533.18/x
  3. Step 3: Cross multiply
    769.01x = 1,060.83 × 533.18
  4. Step 4: Simplify right side
    769.01x = 565,613.34
  5. Step 5: Solve for x
    x = 565,613.34/769.01
  6. Step 6: Final answer
    x = 735.51

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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.