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Finding the Fourth Proportional to 824.32, 1,138.07 and 576.05

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Solution

The fourth proportional to 824.32, 1,138.07 and 576.05 is: 795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.32 : 1,138.07 = 576.05 : x
  2. Step 2: Convert to fraction form
    824.32/1,138.07 = 576.05/x
  3. Step 3: Cross multiply
    824.32x = 1,138.07 × 576.05
  4. Step 4: Simplify right side
    824.32x = 655,589.51
  5. Step 5: Solve for x
    x = 655,589.51/824.32
  6. Step 6: Final answer
    x = 795.31

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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.