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Finding the Fourth Proportional to 695.28, 1,047.42 and 661.32

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Solution

The fourth proportional to 695.28, 1,047.42 and 661.32 is: 996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.28 : 1,047.42 = 661.32 : x
  2. Step 2: Convert to fraction form
    695.28/1,047.42 = 661.32/x
  3. Step 3: Cross multiply
    695.28x = 1,047.42 × 661.32
  4. Step 4: Simplify right side
    695.28x = 692,679.79
  5. Step 5: Solve for x
    x = 692,679.79/695.28
  6. Step 6: Final answer
    x = 996.26

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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.