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Finding the Fourth Proportional to 694.54, 1,040.77 and 633.07

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Solution

The fourth proportional to 694.54, 1,040.77 and 633.07 is: 948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.54 : 1,040.77 = 633.07 : x
  2. Step 2: Convert to fraction form
    694.54/1,040.77 = 633.07/x
  3. Step 3: Cross multiply
    694.54x = 1,040.77 × 633.07
  4. Step 4: Simplify right side
    694.54x = 658,880.26
  5. Step 5: Solve for x
    x = 658,880.26/694.54
  6. Step 6: Final answer
    x = 948.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.