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Finding the Fourth Proportional to 702.65, 969.50 and 422.80

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Solution

The fourth proportional to 702.65, 969.50 and 422.80 is: 583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.65 : 969.50 = 422.80 : x
  2. Step 2: Convert to fraction form
    702.65/969.50 = 422.80/x
  3. Step 3: Cross multiply
    702.65x = 969.50 × 422.80
  4. Step 4: Simplify right side
    702.65x = 409,897.64
  5. Step 5: Solve for x
    x = 409,897.64/702.65
  6. Step 6: Final answer
    x = 583.36

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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.