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Finding the Fourth Proportional to 824.47, 1,137.11 and 700.54

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Solution

The fourth proportional to 824.47, 1,137.11 and 700.54 is: 966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.47 : 1,137.11 = 700.54 : x
  2. Step 2: Convert to fraction form
    824.47/1,137.11 = 700.54/x
  3. Step 3: Cross multiply
    824.47x = 1,137.11 × 700.54
  4. Step 4: Simplify right side
    824.47x = 796,591.04
  5. Step 5: Solve for x
    x = 796,591.04/824.47
  6. Step 6: Final answer
    x = 966.19

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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.