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Finding the Fourth Proportional to 702.74, 969.81 and 388.02

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Solution

The fourth proportional to 702.74, 969.81 and 388.02 is: 535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.74 : 969.81 = 388.02 : x
  2. Step 2: Convert to fraction form
    702.74/969.81 = 388.02/x
  3. Step 3: Cross multiply
    702.74x = 969.81 × 388.02
  4. Step 4: Simplify right side
    702.74x = 376,307.86
  5. Step 5: Solve for x
    x = 376,307.86/702.74
  6. Step 6: Final answer
    x = 535.48

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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.