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Finding the Fourth Proportional to 707.25, 1,062.09 and 642.86

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Solution

The fourth proportional to 707.25, 1,062.09 and 642.86 is: 965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.25 : 1,062.09 = 642.86 : x
  2. Step 2: Convert to fraction form
    707.25/1,062.09 = 642.86/x
  3. Step 3: Cross multiply
    707.25x = 1,062.09 × 642.86
  4. Step 4: Simplify right side
    707.25x = 682,769.87
  5. Step 5: Solve for x
    x = 682,769.87/707.25
  6. Step 6: Final answer
    x = 965.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.