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Finding the Fourth Proportional to 694.48, 953.09 and 628.84

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Solution

The fourth proportional to 694.48, 953.09 and 628.84 is: 863.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.48 : 953.09 = 628.84 : x
  2. Step 2: Convert to fraction form
    694.48/953.09 = 628.84/x
  3. Step 3: Cross multiply
    694.48x = 953.09 × 628.84
  4. Step 4: Simplify right side
    694.48x = 599,341.12
  5. Step 5: Solve for x
    x = 599,341.12/694.48
  6. Step 6: Final answer
    x = 863.01

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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.