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Finding the Fourth Proportional to 705.39, 973.26 and 439.86

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Solution

The fourth proportional to 705.39, 973.26 and 439.86 is: 606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.39 : 973.26 = 439.86 : x
  2. Step 2: Convert to fraction form
    705.39/973.26 = 439.86/x
  3. Step 3: Cross multiply
    705.39x = 973.26 × 439.86
  4. Step 4: Simplify right side
    705.39x = 428,098.14
  5. Step 5: Solve for x
    x = 428,098.14/705.39
  6. Step 6: Final answer
    x = 606.90

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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.