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Finding the Fourth Proportional to 817.82, 1,227.06 and 384.65

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Solution

The fourth proportional to 817.82, 1,227.06 and 384.65 is: 577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.82 : 1,227.06 = 384.65 : x
  2. Step 2: Convert to fraction form
    817.82/1,227.06 = 384.65/x
  3. Step 3: Cross multiply
    817.82x = 1,227.06 × 384.65
  4. Step 4: Simplify right side
    817.82x = 471,982.49
  5. Step 5: Solve for x
    x = 471,982.49/817.82
  6. Step 6: Final answer
    x = 577.13

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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.