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Finding the Fourth Proportional to 1,544.47, 2,314.74 and 665.97

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Solution

The fourth proportional to 1,544.47, 2,314.74 and 665.97 is: 998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.47 : 2,314.74 = 665.97 : x
  2. Step 2: Convert to fraction form
    1,544.47/2,314.74 = 665.97/x
  3. Step 3: Cross multiply
    1,544.47x = 2,314.74 × 665.97
  4. Step 4: Simplify right side
    1,544.47x = 1,541,554.24
  5. Step 5: Solve for x
    x = 1,541,554.24/1,544.47
  6. Step 6: Final answer
    x = 998.11

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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.