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Finding the Fourth Proportional to 824.99, 1,138.71 and 541.44

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Solution

The fourth proportional to 824.99, 1,138.71 and 541.44 is: 747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.99 : 1,138.71 = 541.44 : x
  2. Step 2: Convert to fraction form
    824.99/1,138.71 = 541.44/x
  3. Step 3: Cross multiply
    824.99x = 1,138.71 × 541.44
  4. Step 4: Simplify right side
    824.99x = 616,543.14
  5. Step 5: Solve for x
    x = 616,543.14/824.99
  6. Step 6: Final answer
    x = 747.34

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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.