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Finding the Fourth Proportional to 809.42, 1,214.13 and 419.52

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Solution

The fourth proportional to 809.42, 1,214.13 and 419.52 is: 629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.42 : 1,214.13 = 419.52 : x
  2. Step 2: Convert to fraction form
    809.42/1,214.13 = 419.52/x
  3. Step 3: Cross multiply
    809.42x = 1,214.13 × 419.52
  4. Step 4: Simplify right side
    809.42x = 509,346.46
  5. Step 5: Solve for x
    x = 509,346.46/809.42
  6. Step 6: Final answer
    x = 629.28

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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.