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Finding the Fourth Proportional to 694.03, 957.50 and 414.28

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Solution

The fourth proportional to 694.03, 957.50 and 414.28 is: 571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.03 : 957.50 = 414.28 : x
  2. Step 2: Convert to fraction form
    694.03/957.50 = 414.28/x
  3. Step 3: Cross multiply
    694.03x = 957.50 × 414.28
  4. Step 4: Simplify right side
    694.03x = 396,668.57
  5. Step 5: Solve for x
    x = 396,668.57/694.03
  6. Step 6: Final answer
    x = 571.54

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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.