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Finding the Fourth Proportional to 822.49, 1,135.20 and 523.54

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Solution

The fourth proportional to 822.49, 1,135.20 and 523.54 is: 722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.49 : 1,135.20 = 523.54 : x
  2. Step 2: Convert to fraction form
    822.49/1,135.20 = 523.54/x
  3. Step 3: Cross multiply
    822.49x = 1,135.20 × 523.54
  4. Step 4: Simplify right side
    822.49x = 594,322.61
  5. Step 5: Solve for x
    x = 594,322.61/822.49
  6. Step 6: Final answer
    x = 722.59

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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.