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Finding the Fourth Proportional to 702.68, 969.71 and 387.94

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Solution

The fourth proportional to 702.68, 969.71 and 387.94 is: 535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.68 : 969.71 = 387.94 : x
  2. Step 2: Convert to fraction form
    702.68/969.71 = 387.94/x
  3. Step 3: Cross multiply
    702.68x = 969.71 × 387.94
  4. Step 4: Simplify right side
    702.68x = 376,189.30
  5. Step 5: Solve for x
    x = 376,189.30/702.68
  6. Step 6: Final answer
    x = 535.36

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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.