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Finding the Fourth Proportional to 1,057.22, 1,578.40 and 953.54

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Solution

The fourth proportional to 1,057.22, 1,578.40 and 953.54 is: 1,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.22 : 1,578.40 = 953.54 : x
  2. Step 2: Convert to fraction form
    1,057.22/1,578.40 = 953.54/x
  3. Step 3: Cross multiply
    1,057.22x = 1,578.40 × 953.54
  4. Step 4: Simplify right side
    1,057.22x = 1,505,067.54
  5. Step 5: Solve for x
    x = 1,505,067.54/1,057.22
  6. Step 6: Final answer
    x = 1,423.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.