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Finding the Fourth Proportional to 1,074.74, 1,612.26 and 371.87

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Solution

The fourth proportional to 1,074.74, 1,612.26 and 371.87 is: 557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.74 : 1,612.26 = 371.87 : x
  2. Step 2: Convert to fraction form
    1,074.74/1,612.26 = 371.87/x
  3. Step 3: Cross multiply
    1,074.74x = 1,612.26 × 371.87
  4. Step 4: Simplify right side
    1,074.74x = 599,551.13
  5. Step 5: Solve for x
    x = 599,551.13/1,074.74
  6. Step 6: Final answer
    x = 557.86

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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.