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Finding the Fourth Proportional to 694.94, 1,042.07 and 284.00

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Solution

The fourth proportional to 694.94, 1,042.07 and 284.00 is: 425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.94 : 1,042.07 = 284.00 : x
  2. Step 2: Convert to fraction form
    694.94/1,042.07 = 284.00/x
  3. Step 3: Cross multiply
    694.94x = 1,042.07 × 284.00
  4. Step 4: Simplify right side
    694.94x = 295,941.25
  5. Step 5: Solve for x
    x = 295,941.25/694.94
  6. Step 6: Final answer
    x = 425.85

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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.