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Finding the Fourth Proportional to 694.84, 1,043.92 and 406.48

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Solution

The fourth proportional to 694.84, 1,043.92 and 406.48 is: 610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.84 : 1,043.92 = 406.48 : x
  2. Step 2: Convert to fraction form
    694.84/1,043.92 = 406.48/x
  3. Step 3: Cross multiply
    694.84x = 1,043.92 × 406.48
  4. Step 4: Simplify right side
    694.84x = 424,332.60
  5. Step 5: Solve for x
    x = 424,332.60/694.84
  6. Step 6: Final answer
    x = 610.69

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