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Finding the Fourth Proportional to 698.82, 961.15 and 586.74

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Solution

The fourth proportional to 698.82, 961.15 and 586.74 is: 806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.82 : 961.15 = 586.74 : x
  2. Step 2: Convert to fraction form
    698.82/961.15 = 586.74/x
  3. Step 3: Cross multiply
    698.82x = 961.15 × 586.74
  4. Step 4: Simplify right side
    698.82x = 563,942.22
  5. Step 5: Solve for x
    x = 563,942.22/698.82
  6. Step 6: Final answer
    x = 806.99

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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.