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Finding the Fourth Proportional to 823.47, 1,135.62 and 741.47

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Solution

The fourth proportional to 823.47, 1,135.62 and 741.47 is: 1,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.47 : 1,135.62 = 741.47 : x
  2. Step 2: Convert to fraction form
    823.47/1,135.62 = 741.47/x
  3. Step 3: Cross multiply
    823.47x = 1,135.62 × 741.47
  4. Step 4: Simplify right side
    823.47x = 842,022.48
  5. Step 5: Solve for x
    x = 842,022.48/823.47
  6. Step 6: Final answer
    x = 1,022.53

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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.