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Finding the Fourth Proportional to 818.13, 1,226.38 and 384.51

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Solution

The fourth proportional to 818.13, 1,226.38 and 384.51 is: 576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.13 : 1,226.38 = 384.51 : x
  2. Step 2: Convert to fraction form
    818.13/1,226.38 = 384.51/x
  3. Step 3: Cross multiply
    818.13x = 1,226.38 × 384.51
  4. Step 4: Simplify right side
    818.13x = 471,555.37
  5. Step 5: Solve for x
    x = 471,555.37/818.13
  6. Step 6: Final answer
    x = 576.38

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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.