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Finding the Fourth Proportional to 670.14, 929.07 and 633.24

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Solution

The fourth proportional to 670.14, 929.07 and 633.24 is: 877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.14 : 929.07 = 633.24 : x
  2. Step 2: Convert to fraction form
    670.14/929.07 = 633.24/x
  3. Step 3: Cross multiply
    670.14x = 929.07 × 633.24
  4. Step 4: Simplify right side
    670.14x = 588,324.29
  5. Step 5: Solve for x
    x = 588,324.29/670.14
  6. Step 6: Final answer
    x = 877.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.