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Finding the Fourth Proportional to 435.92, 649.61 and 421.23

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Solution

The fourth proportional to 435.92, 649.61 and 421.23 is: 627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.92 : 649.61 = 421.23 : x
  2. Step 2: Convert to fraction form
    435.92/649.61 = 421.23/x
  3. Step 3: Cross multiply
    435.92x = 649.61 × 421.23
  4. Step 4: Simplify right side
    435.92x = 273,631.06
  5. Step 5: Solve for x
    x = 273,631.06/435.92
  6. Step 6: Final answer
    x = 627.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.