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Finding the Fourth Proportional to 702.27, 963.32 and 696.15

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Solution

The fourth proportional to 702.27, 963.32 and 696.15 is: 954.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.27 : 963.32 = 696.15 : x
  2. Step 2: Convert to fraction form
    702.27/963.32 = 696.15/x
  3. Step 3: Cross multiply
    702.27x = 963.32 × 696.15
  4. Step 4: Simplify right side
    702.27x = 670,611.74
  5. Step 5: Solve for x
    x = 670,611.74/702.27
  6. Step 6: Final answer
    x = 954.92

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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.