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Finding the Fourth Proportional to 824.05, 1,235.95 and 276.23

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Solution

The fourth proportional to 824.05, 1,235.95 and 276.23 is: 414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.05 : 1,235.95 = 276.23 : x
  2. Step 2: Convert to fraction form
    824.05/1,235.95 = 276.23/x
  3. Step 3: Cross multiply
    824.05x = 1,235.95 × 276.23
  4. Step 4: Simplify right side
    824.05x = 341,406.47
  5. Step 5: Solve for x
    x = 341,406.47/824.05
  6. Step 6: Final answer
    x = 414.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.