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Finding the Fourth Proportional to 702.23, 969.14 and 422.55

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Solution

The fourth proportional to 702.23, 969.14 and 422.55 is: 583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.23 : 969.14 = 422.55 : x
  2. Step 2: Convert to fraction form
    702.23/969.14 = 422.55/x
  3. Step 3: Cross multiply
    702.23x = 969.14 × 422.55
  4. Step 4: Simplify right side
    702.23x = 409,511.16
  5. Step 5: Solve for x
    x = 409,511.16/702.23
  6. Step 6: Final answer
    x = 583.16

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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.