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Finding the Fourth Proportional to 809.82, 1,214.55 and 578.01

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Solution

The fourth proportional to 809.82, 1,214.55 and 578.01 is: 866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.82 : 1,214.55 = 578.01 : x
  2. Step 2: Convert to fraction form
    809.82/1,214.55 = 578.01/x
  3. Step 3: Cross multiply
    809.82x = 1,214.55 × 578.01
  4. Step 4: Simplify right side
    809.82x = 702,022.05
  5. Step 5: Solve for x
    x = 702,022.05/809.82
  6. Step 6: Final answer
    x = 866.89

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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.