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Finding the Fourth Proportional to 905.31, 1,247.46 and 695.48

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Solution

The fourth proportional to 905.31, 1,247.46 and 695.48 is: 958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.31 : 1,247.46 = 695.48 : x
  2. Step 2: Convert to fraction form
    905.31/1,247.46 = 695.48/x
  3. Step 3: Cross multiply
    905.31x = 1,247.46 × 695.48
  4. Step 4: Simplify right side
    905.31x = 867,577.24
  5. Step 5: Solve for x
    x = 867,577.24/905.31
  6. Step 6: Final answer
    x = 958.32

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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.