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Finding the Fourth Proportional to 705.44, 1,054.42 and 690.86

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Solution

The fourth proportional to 705.44, 1,054.42 and 690.86 is: 1,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.44 : 1,054.42 = 690.86 : x
  2. Step 2: Convert to fraction form
    705.44/1,054.42 = 690.86/x
  3. Step 3: Cross multiply
    705.44x = 1,054.42 × 690.86
  4. Step 4: Simplify right side
    705.44x = 728,456.60
  5. Step 5: Solve for x
    x = 728,456.60/705.44
  6. Step 6: Final answer
    x = 1,032.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.