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Finding the Fourth Proportional to 714.58, 980.87 and 634.14

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Solution

The fourth proportional to 714.58, 980.87 and 634.14 is: 870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.58 : 980.87 = 634.14 : x
  2. Step 2: Convert to fraction form
    714.58/980.87 = 634.14/x
  3. Step 3: Cross multiply
    714.58x = 980.87 × 634.14
  4. Step 4: Simplify right side
    714.58x = 622,008.90
  5. Step 5: Solve for x
    x = 622,008.90/714.58
  6. Step 6: Final answer
    x = 870.45

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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.