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Finding the Fourth Proportional to 705.76, 968.90 and 647.44

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Solution

The fourth proportional to 705.76, 968.90 and 647.44 is: 888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.76 : 968.90 = 647.44 : x
  2. Step 2: Convert to fraction form
    705.76/968.90 = 647.44/x
  3. Step 3: Cross multiply
    705.76x = 968.90 × 647.44
  4. Step 4: Simplify right side
    705.76x = 627,304.62
  5. Step 5: Solve for x
    x = 627,304.62/705.76
  6. Step 6: Final answer
    x = 888.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.