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Finding the Fourth Proportional to 701.35, 968.15 and 628.45

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Solution

The fourth proportional to 701.35, 968.15 and 628.45 is: 867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.35 : 968.15 = 628.45 : x
  2. Step 2: Convert to fraction form
    701.35/968.15 = 628.45/x
  3. Step 3: Cross multiply
    701.35x = 968.15 × 628.45
  4. Step 4: Simplify right side
    701.35x = 608,433.02
  5. Step 5: Solve for x
    x = 608,433.02/701.35
  6. Step 6: Final answer
    x = 867.52

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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.