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Finding the Fourth Proportional to 705.26, 972.97 and 439.52

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Solution

The fourth proportional to 705.26, 972.97 and 439.52 is: 606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.26 : 972.97 = 439.52 : x
  2. Step 2: Convert to fraction form
    705.26/972.97 = 439.52/x
  3. Step 3: Cross multiply
    705.26x = 972.97 × 439.52
  4. Step 4: Simplify right side
    705.26x = 427,633.81
  5. Step 5: Solve for x
    x = 427,633.81/705.26
  6. Step 6: Final answer
    x = 606.35

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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.