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Finding the Fourth Proportional to 923.74, 1,275.30 and 825.28

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Solution

The fourth proportional to 923.74, 1,275.30 and 825.28 is: 1,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.74 : 1,275.30 = 825.28 : x
  2. Step 2: Convert to fraction form
    923.74/1,275.30 = 825.28/x
  3. Step 3: Cross multiply
    923.74x = 1,275.30 × 825.28
  4. Step 4: Simplify right side
    923.74x = 1,052,479.58
  5. Step 5: Solve for x
    x = 1,052,479.58/923.74
  6. Step 6: Final answer
    x = 1,139.37

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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.