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Finding the Fourth Proportional to 1,162.74, 1,603.54 and 825.98

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Solution

The fourth proportional to 1,162.74, 1,603.54 and 825.98 is: 1,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.74 : 1,603.54 = 825.98 : x
  2. Step 2: Convert to fraction form
    1,162.74/1,603.54 = 825.98/x
  3. Step 3: Cross multiply
    1,162.74x = 1,603.54 × 825.98
  4. Step 4: Simplify right side
    1,162.74x = 1,324,491.97
  5. Step 5: Solve for x
    x = 1,324,491.97/1,162.74
  6. Step 6: Final answer
    x = 1,139.11

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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.