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Finding the Fourth Proportional to 907.92, 1,352.31 and 825.30

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Solution

The fourth proportional to 907.92, 1,352.31 and 825.30 is: 1,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.92 : 1,352.31 = 825.30 : x
  2. Step 2: Convert to fraction form
    907.92/1,352.31 = 825.30/x
  3. Step 3: Cross multiply
    907.92x = 1,352.31 × 825.30
  4. Step 4: Simplify right side
    907.92x = 1,116,061.44
  5. Step 5: Solve for x
    x = 1,116,061.44/907.92
  6. Step 6: Final answer
    x = 1,229.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.