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Finding the Fourth Proportional to 816.84, 1,126.44 and 699.12

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Solution

The fourth proportional to 816.84, 1,126.44 and 699.12 is: 964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.84 : 1,126.44 = 699.12 : x
  2. Step 2: Convert to fraction form
    816.84/1,126.44 = 699.12/x
  3. Step 3: Cross multiply
    816.84x = 1,126.44 × 699.12
  4. Step 4: Simplify right side
    816.84x = 787,516.73
  5. Step 5: Solve for x
    x = 787,516.73/816.84
  6. Step 6: Final answer
    x = 964.10

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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.