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Finding the Fourth Proportional to 825.54, 1,243.12 and 596.01

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Solution

The fourth proportional to 825.54, 1,243.12 and 596.01 is: 897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.54 : 1,243.12 = 596.01 : x
  2. Step 2: Convert to fraction form
    825.54/1,243.12 = 596.01/x
  3. Step 3: Cross multiply
    825.54x = 1,243.12 × 596.01
  4. Step 4: Simplify right side
    825.54x = 740,911.95
  5. Step 5: Solve for x
    x = 740,911.95/825.54
  6. Step 6: Final answer
    x = 897.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.