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Finding the Fourth Proportional to 674.24, 930.12 and 422.12

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Solution

The fourth proportional to 674.24, 930.12 and 422.12 is: 582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.24 : 930.12 = 422.12 : x
  2. Step 2: Convert to fraction form
    674.24/930.12 = 422.12/x
  3. Step 3: Cross multiply
    674.24x = 930.12 × 422.12
  4. Step 4: Simplify right side
    674.24x = 392,622.25
  5. Step 5: Solve for x
    x = 392,622.25/674.24
  6. Step 6: Final answer
    x = 582.32

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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.