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Finding the Fourth Proportional to 809.45, 1,214.33 and 289.49

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Solution

The fourth proportional to 809.45, 1,214.33 and 289.49 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.45 : 1,214.33 = 289.49 : x
  2. Step 2: Convert to fraction form
    809.45/1,214.33 = 289.49/x
  3. Step 3: Cross multiply
    809.45x = 1,214.33 × 289.49
  4. Step 4: Simplify right side
    809.45x = 351,528.87
  5. Step 5: Solve for x
    x = 351,528.87/809.45
  6. Step 6: Final answer
    x = 434.28

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1.5x scale

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.