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Finding the Fourth Proportional to 698.73, 970.94 and 691.16

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Solution

The fourth proportional to 698.73, 970.94 and 691.16 is: 960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.73 : 970.94 = 691.16 : x
  2. Step 2: Convert to fraction form
    698.73/970.94 = 691.16/x
  3. Step 3: Cross multiply
    698.73x = 970.94 × 691.16
  4. Step 4: Simplify right side
    698.73x = 671,066.58
  5. Step 5: Solve for x
    x = 671,066.58/698.73
  6. Step 6: Final answer
    x = 960.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.