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Finding the Fourth Proportional to 1,484.54, 2,227.23 and 651.68

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Solution

The fourth proportional to 1,484.54, 2,227.23 and 651.68 is: 977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.54 : 2,227.23 = 651.68 : x
  2. Step 2: Convert to fraction form
    1,484.54/2,227.23 = 651.68/x
  3. Step 3: Cross multiply
    1,484.54x = 2,227.23 × 651.68
  4. Step 4: Simplify right side
    1,484.54x = 1,451,446.81
  5. Step 5: Solve for x
    x = 1,451,446.81/1,484.54
  6. Step 6: Final answer
    x = 977.71

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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.