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Finding the Fourth Proportional to 694.78, 957.83 and 517.39

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Solution

The fourth proportional to 694.78, 957.83 and 517.39 is: 713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.78 : 957.83 = 517.39 : x
  2. Step 2: Convert to fraction form
    694.78/957.83 = 517.39/x
  3. Step 3: Cross multiply
    694.78x = 957.83 × 517.39
  4. Step 4: Simplify right side
    694.78x = 495,566.68
  5. Step 5: Solve for x
    x = 495,566.68/694.78
  6. Step 6: Final answer
    x = 713.27

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1.5x scale

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.