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Finding the Fourth Proportional to 698.05, 957.79 and 691.52

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Solution

The fourth proportional to 698.05, 957.79 and 691.52 is: 948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.05 : 957.79 = 691.52 : x
  2. Step 2: Convert to fraction form
    698.05/957.79 = 691.52/x
  3. Step 3: Cross multiply
    698.05x = 957.79 × 691.52
  4. Step 4: Simplify right side
    698.05x = 662,330.94
  5. Step 5: Solve for x
    x = 662,330.94/698.05
  6. Step 6: Final answer
    x = 948.83

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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.