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Finding the Fourth Proportional to 694.29, 957.99 and 432.19

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Solution

The fourth proportional to 694.29, 957.99 and 432.19 is: 596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.29 : 957.99 = 432.19 : x
  2. Step 2: Convert to fraction form
    694.29/957.99 = 432.19/x
  3. Step 3: Cross multiply
    694.29x = 957.99 × 432.19
  4. Step 4: Simplify right side
    694.29x = 414,033.70
  5. Step 5: Solve for x
    x = 414,033.70/694.29
  6. Step 6: Final answer
    x = 596.34

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Half scale
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Double scale
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Similar ratio
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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.