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Finding the Fourth Proportional to 769.23, 1,060.56 and 657.18

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Solution

The fourth proportional to 769.23, 1,060.56 and 657.18 is: 906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.23 : 1,060.56 = 657.18 : x
  2. Step 2: Convert to fraction form
    769.23/1,060.56 = 657.18/x
  3. Step 3: Cross multiply
    769.23x = 1,060.56 × 657.18
  4. Step 4: Simplify right side
    769.23x = 696,978.82
  5. Step 5: Solve for x
    x = 696,978.82/769.23
  6. Step 6: Final answer
    x = 906.07

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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.