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Finding the Fourth Proportional to 702.46, 969.64 and 422.78

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Solution

The fourth proportional to 702.46, 969.64 and 422.78 is: 583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.46 : 969.64 = 422.78 : x
  2. Step 2: Convert to fraction form
    702.46/969.64 = 422.78/x
  3. Step 3: Cross multiply
    702.46x = 969.64 × 422.78
  4. Step 4: Simplify right side
    702.46x = 409,944.40
  5. Step 5: Solve for x
    x = 409,944.40/702.46
  6. Step 6: Final answer
    x = 583.58

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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.