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Finding the Fourth Proportional to 694.16, 957.84 and 461.60

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Solution

The fourth proportional to 694.16, 957.84 and 461.60 is: 636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.16 : 957.84 = 461.60 : x
  2. Step 2: Convert to fraction form
    694.16/957.84 = 461.60/x
  3. Step 3: Cross multiply
    694.16x = 957.84 × 461.60
  4. Step 4: Simplify right side
    694.16x = 442,138.94
  5. Step 5: Solve for x
    x = 442,138.94/694.16
  6. Step 6: Final answer
    x = 636.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.