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Finding the Fourth Proportional to 832.53, 1,148.20 and 812.49

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Solution

The fourth proportional to 832.53, 1,148.20 and 812.49 is: 1,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.53 : 1,148.20 = 812.49 : x
  2. Step 2: Convert to fraction form
    832.53/1,148.20 = 812.49/x
  3. Step 3: Cross multiply
    832.53x = 1,148.20 × 812.49
  4. Step 4: Simplify right side
    832.53x = 932,901.02
  5. Step 5: Solve for x
    x = 932,901.02/832.53
  6. Step 6: Final answer
    x = 1,120.56

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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.