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Finding the Fourth Proportional to 714.60, 986.94 and 680.04

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Solution

The fourth proportional to 714.60, 986.94 and 680.04 is: 939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.60 : 986.94 = 680.04 : x
  2. Step 2: Convert to fraction form
    714.60/986.94 = 680.04/x
  3. Step 3: Cross multiply
    714.60x = 986.94 × 680.04
  4. Step 4: Simplify right side
    714.60x = 671,158.68
  5. Step 5: Solve for x
    x = 671,158.68/714.60
  6. Step 6: Final answer
    x = 939.21

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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.