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Finding the Fourth Proportional to 809.05, 1,214.17 and 315.53

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Solution

The fourth proportional to 809.05, 1,214.17 and 315.53 is: 473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.05 : 1,214.17 = 315.53 : x
  2. Step 2: Convert to fraction form
    809.05/1,214.17 = 315.53/x
  3. Step 3: Cross multiply
    809.05x = 1,214.17 × 315.53
  4. Step 4: Simplify right side
    809.05x = 383,107.06
  5. Step 5: Solve for x
    x = 383,107.06/809.05
  6. Step 6: Final answer
    x = 473.53

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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.