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Finding the Fourth Proportional to 824.13, 1,137.78 and 614.07

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Solution

The fourth proportional to 824.13, 1,137.78 and 614.07 is: 847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.13 : 1,137.78 = 614.07 : x
  2. Step 2: Convert to fraction form
    824.13/1,137.78 = 614.07/x
  3. Step 3: Cross multiply
    824.13x = 1,137.78 × 614.07
  4. Step 4: Simplify right side
    824.13x = 698,676.56
  5. Step 5: Solve for x
    x = 698,676.56/824.13
  6. Step 6: Final answer
    x = 847.77

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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.