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Finding the Fourth Proportional to 1,483.93, 2,225.36 and 443.74

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Solution

The fourth proportional to 1,483.93, 2,225.36 and 443.74 is: 665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.93 : 2,225.36 = 443.74 : x
  2. Step 2: Convert to fraction form
    1,483.93/2,225.36 = 443.74/x
  3. Step 3: Cross multiply
    1,483.93x = 2,225.36 × 443.74
  4. Step 4: Simplify right side
    1,483.93x = 987,481.25
  5. Step 5: Solve for x
    x = 987,481.25/1,483.93
  6. Step 6: Final answer
    x = 665.45

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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.