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Finding the Fourth Proportional to 674.36, 930.22 and 464.21

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Solution

The fourth proportional to 674.36, 930.22 and 464.21 is: 640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.36 : 930.22 = 464.21 : x
  2. Step 2: Convert to fraction form
    674.36/930.22 = 464.21/x
  3. Step 3: Cross multiply
    674.36x = 930.22 × 464.21
  4. Step 4: Simplify right side
    674.36x = 431,811.61
  5. Step 5: Solve for x
    x = 431,811.61/674.36
  6. Step 6: Final answer
    x = 640.33

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1.5x scale

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.