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Finding the Fourth Proportional to 769.19, 1,060.05 and 628.86

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Solution

The fourth proportional to 769.19, 1,060.05 and 628.86 is: 866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.19 : 1,060.05 = 628.86 : x
  2. Step 2: Convert to fraction form
    769.19/1,060.05 = 628.86/x
  3. Step 3: Cross multiply
    769.19x = 1,060.05 × 628.86
  4. Step 4: Simplify right side
    769.19x = 666,623.04
  5. Step 5: Solve for x
    x = 666,623.04/769.19
  6. Step 6: Final answer
    x = 866.66

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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.