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Finding the Fourth Proportional to 694.97, 959.11 and 433.02

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Solution

The fourth proportional to 694.97, 959.11 and 433.02 is: 597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.97 : 959.11 = 433.02 : x
  2. Step 2: Convert to fraction form
    694.97/959.11 = 433.02/x
  3. Step 3: Cross multiply
    694.97x = 959.11 × 433.02
  4. Step 4: Simplify right side
    694.97x = 415,313.81
  5. Step 5: Solve for x
    x = 415,313.81/694.97
  6. Step 6: Final answer
    x = 597.60

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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.