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Finding the Fourth Proportional to 721.60, 986.98 and 710.26

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Solution

The fourth proportional to 721.60, 986.98 and 710.26 is: 971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.60 : 986.98 = 710.26 : x
  2. Step 2: Convert to fraction form
    721.60/986.98 = 710.26/x
  3. Step 3: Cross multiply
    721.60x = 986.98 × 710.26
  4. Step 4: Simplify right side
    721.60x = 701,012.41
  5. Step 5: Solve for x
    x = 701,012.41/721.60
  6. Step 6: Final answer
    x = 971.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.