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Finding the Fourth Proportional to 699.23, 961.88 and 649.11

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Solution

The fourth proportional to 699.23, 961.88 and 649.11 is: 892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.23 : 961.88 = 649.11 : x
  2. Step 2: Convert to fraction form
    699.23/961.88 = 649.11/x
  3. Step 3: Cross multiply
    699.23x = 961.88 × 649.11
  4. Step 4: Simplify right side
    699.23x = 624,366.29
  5. Step 5: Solve for x
    x = 624,366.29/699.23
  6. Step 6: Final answer
    x = 892.93

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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.