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Finding the Fourth Proportional to 702.09, 968.89 and 391.59

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Solution

The fourth proportional to 702.09, 968.89 and 391.59 is: 540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.09 : 968.89 = 391.59 : x
  2. Step 2: Convert to fraction form
    702.09/968.89 = 391.59/x
  3. Step 3: Cross multiply
    702.09x = 968.89 × 391.59
  4. Step 4: Simplify right side
    702.09x = 379,411.76
  5. Step 5: Solve for x
    x = 379,411.76/702.09
  6. Step 6: Final answer
    x = 540.40

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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.