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Finding the Fourth Proportional to 705.41, 1,060.38 and 654.68

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Solution

The fourth proportional to 705.41, 1,060.38 and 654.68 is: 984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.41 : 1,060.38 = 654.68 : x
  2. Step 2: Convert to fraction form
    705.41/1,060.38 = 654.68/x
  3. Step 3: Cross multiply
    705.41x = 1,060.38 × 654.68
  4. Step 4: Simplify right side
    705.41x = 694,204.28
  5. Step 5: Solve for x
    x = 694,204.28/705.41
  6. Step 6: Final answer
    x = 984.12

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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.