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Finding the Fourth Proportional to 705.52, 968.40 and 675.44

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Solution

The fourth proportional to 705.52, 968.40 and 675.44 is: 927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.52 : 968.40 = 675.44 : x
  2. Step 2: Convert to fraction form
    705.52/968.40 = 675.44/x
  3. Step 3: Cross multiply
    705.52x = 968.40 × 675.44
  4. Step 4: Simplify right side
    705.52x = 654,096.10
  5. Step 5: Solve for x
    x = 654,096.10/705.52
  6. Step 6: Final answer
    x = 927.11

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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.