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Finding the Fourth Proportional to 694.34, 953.80 and 659.24

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Solution

The fourth proportional to 694.34, 953.80 and 659.24 is: 905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.34 : 953.80 = 659.24 : x
  2. Step 2: Convert to fraction form
    694.34/953.80 = 659.24/x
  3. Step 3: Cross multiply
    694.34x = 953.80 × 659.24
  4. Step 4: Simplify right side
    694.34x = 628,783.11
  5. Step 5: Solve for x
    x = 628,783.11/694.34
  6. Step 6: Final answer
    x = 905.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.