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Finding the Fourth Proportional to 702.49, 968.99 and 426.49

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Solution

The fourth proportional to 702.49, 968.99 and 426.49 is: 588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.49 : 968.99 = 426.49 : x
  2. Step 2: Convert to fraction form
    702.49/968.99 = 426.49/x
  3. Step 3: Cross multiply
    702.49x = 968.99 × 426.49
  4. Step 4: Simplify right side
    702.49x = 413,262.41
  5. Step 5: Solve for x
    x = 413,262.41/702.49
  6. Step 6: Final answer
    x = 588.28

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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.