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Finding the Fourth Proportional to 705.39, 1,056.85 and 679.87

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Solution

The fourth proportional to 705.39, 1,056.85 and 679.87 is: 1,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.39 : 1,056.85 = 679.87 : x
  2. Step 2: Convert to fraction form
    705.39/1,056.85 = 679.87/x
  3. Step 3: Cross multiply
    705.39x = 1,056.85 × 679.87
  4. Step 4: Simplify right side
    705.39x = 718,520.61
  5. Step 5: Solve for x
    x = 718,520.61/705.39
  6. Step 6: Final answer
    x = 1,018.61

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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.