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Finding the Fourth Proportional to 1,484.64, 2,226.48 and 618.78

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Solution

The fourth proportional to 1,484.64, 2,226.48 and 618.78 is: 927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.64 : 2,226.48 = 618.78 : x
  2. Step 2: Convert to fraction form
    1,484.64/2,226.48 = 618.78/x
  3. Step 3: Cross multiply
    1,484.64x = 2,226.48 × 618.78
  4. Step 4: Simplify right side
    1,484.64x = 1,377,701.29
  5. Step 5: Solve for x
    x = 1,377,701.29/1,484.64
  6. Step 6: Final answer
    x = 927.97

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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.