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Finding the Fourth Proportional to 694.94, 1,047.31 and 653.90

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Solution

The fourth proportional to 694.94, 1,047.31 and 653.90 is: 985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.94 : 1,047.31 = 653.90 : x
  2. Step 2: Convert to fraction form
    694.94/1,047.31 = 653.90/x
  3. Step 3: Cross multiply
    694.94x = 1,047.31 × 653.90
  4. Step 4: Simplify right side
    694.94x = 684,829.14
  5. Step 5: Solve for x
    x = 684,829.14/694.94
  6. Step 6: Final answer
    x = 985.46

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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.