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Finding the Fourth Proportional to 832.56, 1,148.40 and 611.52

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Solution

The fourth proportional to 832.56, 1,148.40 and 611.52 is: 843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.56 : 1,148.40 = 611.52 : x
  2. Step 2: Convert to fraction form
    832.56/1,148.40 = 611.52/x
  3. Step 3: Cross multiply
    832.56x = 1,148.40 × 611.52
  4. Step 4: Simplify right side
    832.56x = 702,269.57
  5. Step 5: Solve for x
    x = 702,269.57/832.56
  6. Step 6: Final answer
    x = 843.51

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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.