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Finding the Fourth Proportional to 1,029.55, 1,544.33 and 249.55

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Solution

The fourth proportional to 1,029.55, 1,544.33 and 249.55 is: 374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.55 : 1,544.33 = 249.55 : x
  2. Step 2: Convert to fraction form
    1,029.55/1,544.33 = 249.55/x
  3. Step 3: Cross multiply
    1,029.55x = 1,544.33 × 249.55
  4. Step 4: Simplify right side
    1,029.55x = 385,388.27
  5. Step 5: Solve for x
    x = 385,388.27/1,029.55
  6. Step 6: Final answer
    x = 374.33

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Double scale
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1.5x scale

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.