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Finding the Fourth Proportional to 670.64, 925.48 and 408.64

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Solution

The fourth proportional to 670.64, 925.48 and 408.64 is: 563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.64 : 925.48 = 408.64 : x
  2. Step 2: Convert to fraction form
    670.64/925.48 = 408.64/x
  3. Step 3: Cross multiply
    670.64x = 925.48 × 408.64
  4. Step 4: Simplify right side
    670.64x = 378,188.15
  5. Step 5: Solve for x
    x = 378,188.15/670.64
  6. Step 6: Final answer
    x = 563.92

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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.