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Finding the Fourth Proportional to 824.97, 1,138.05 and 526.14

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Solution

The fourth proportional to 824.97, 1,138.05 and 526.14 is: 725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.97 : 1,138.05 = 526.14 : x
  2. Step 2: Convert to fraction form
    824.97/1,138.05 = 526.14/x
  3. Step 3: Cross multiply
    824.97x = 1,138.05 × 526.14
  4. Step 4: Simplify right side
    824.97x = 598,773.63
  5. Step 5: Solve for x
    x = 598,773.63/824.97
  6. Step 6: Final answer
    x = 725.81

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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.