Home / 1,215.20-1,823.64-484.94

Finding the Fourth Proportional to 1,215.20, 1,823.64 and 484.94

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Solution

The fourth proportional to 1,215.20, 1,823.64 and 484.94 is: 727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.20 : 1,823.64 = 484.94 : x
  2. Step 2: Convert to fraction form
    1,215.20/1,823.64 = 484.94/x
  3. Step 3: Cross multiply
    1,215.20x = 1,823.64 × 484.94
  4. Step 4: Simplify right side
    1,215.20x = 884,355.98
  5. Step 5: Solve for x
    x = 884,355.98/1,215.20
  6. Step 6: Final answer
    x = 727.75

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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.