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Finding the Fourth Proportional to 702.13, 969.35 and 422.45

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Solution

The fourth proportional to 702.13, 969.35 and 422.45 is: 583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.13 : 969.35 = 422.45 : x
  2. Step 2: Convert to fraction form
    702.13/969.35 = 422.45/x
  3. Step 3: Cross multiply
    702.13x = 969.35 × 422.45
  4. Step 4: Simplify right side
    702.13x = 409,501.91
  5. Step 5: Solve for x
    x = 409,501.91/702.13
  6. Step 6: Final answer
    x = 583.23

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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.