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Finding the Fourth Proportional to 471.80, 705.70 and 423.40

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Solution

The fourth proportional to 471.80, 705.70 and 423.40 is: 633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.80 : 705.70 = 423.40 : x
  2. Step 2: Convert to fraction form
    471.80/705.70 = 423.40/x
  3. Step 3: Cross multiply
    471.80x = 705.70 × 423.40
  4. Step 4: Simplify right side
    471.80x = 298,793.38
  5. Step 5: Solve for x
    x = 298,793.38/471.80
  6. Step 6: Final answer
    x = 633.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.