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Finding the Fourth Proportional to 670.64, 925.63 and 449.78

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Solution

The fourth proportional to 670.64, 925.63 and 449.78 is: 620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.64 : 925.63 = 449.78 : x
  2. Step 2: Convert to fraction form
    670.64/925.63 = 449.78/x
  3. Step 3: Cross multiply
    670.64x = 925.63 × 449.78
  4. Step 4: Simplify right side
    670.64x = 416,324.11
  5. Step 5: Solve for x
    x = 416,324.11/670.64
  6. Step 6: Final answer
    x = 620.79

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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.