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Finding the Fourth Proportional to 1,483.36, 2,226.64 and 618.28

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Solution

The fourth proportional to 1,483.36, 2,226.64 and 618.28 is: 928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.36 : 2,226.64 = 618.28 : x
  2. Step 2: Convert to fraction form
    1,483.36/2,226.64 = 618.28/x
  3. Step 3: Cross multiply
    1,483.36x = 2,226.64 × 618.28
  4. Step 4: Simplify right side
    1,483.36x = 1,376,686.98
  5. Step 5: Solve for x
    x = 1,376,686.98/1,483.36
  6. Step 6: Final answer
    x = 928.09

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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.