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Finding the Fourth Proportional to 832.26, 1,148.75 and 537.73

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Solution

The fourth proportional to 832.26, 1,148.75 and 537.73 is: 742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.26 : 1,148.75 = 537.73 : x
  2. Step 2: Convert to fraction form
    832.26/1,148.75 = 537.73/x
  3. Step 3: Cross multiply
    832.26x = 1,148.75 × 537.73
  4. Step 4: Simplify right side
    832.26x = 617,717.34
  5. Step 5: Solve for x
    x = 617,717.34/832.26
  6. Step 6: Final answer
    x = 742.22

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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.