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Finding the Fourth Proportional to 694.19, 957.55 and 414.23

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Solution

The fourth proportional to 694.19, 957.55 and 414.23 is: 571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.19 : 957.55 = 414.23 : x
  2. Step 2: Convert to fraction form
    694.19/957.55 = 414.23/x
  3. Step 3: Cross multiply
    694.19x = 957.55 × 414.23
  4. Step 4: Simplify right side
    694.19x = 396,645.94
  5. Step 5: Solve for x
    x = 396,645.94/694.19
  6. Step 6: Final answer
    x = 571.38

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Half scale
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Double scale
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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.