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Finding the Fourth Proportional to 699.62, 965.44 and 400.86

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Solution

The fourth proportional to 699.62, 965.44 and 400.86 is: 553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.62 : 965.44 = 400.86 : x
  2. Step 2: Convert to fraction form
    699.62/965.44 = 400.86/x
  3. Step 3: Cross multiply
    699.62x = 965.44 × 400.86
  4. Step 4: Simplify right side
    699.62x = 387,006.28
  5. Step 5: Solve for x
    x = 387,006.28/699.62
  6. Step 6: Final answer
    x = 553.17

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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.