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Finding the Fourth Proportional to 699.11, 964.70 and 400.33

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Solution

The fourth proportional to 699.11, 964.70 and 400.33 is: 552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.11 : 964.70 = 400.33 : x
  2. Step 2: Convert to fraction form
    699.11/964.70 = 400.33/x
  3. Step 3: Cross multiply
    699.11x = 964.70 × 400.33
  4. Step 4: Simplify right side
    699.11x = 386,193.94
  5. Step 5: Solve for x
    x = 386,193.94/699.11
  6. Step 6: Final answer
    x = 552.41

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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.