Home / 1,491.46-2,058.23-828.33

Finding the Fourth Proportional to 1,491.46, 2,058.23 and 828.33

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Solution

The fourth proportional to 1,491.46, 2,058.23 and 828.33 is: 1,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.46 : 2,058.23 = 828.33 : x
  2. Step 2: Convert to fraction form
    1,491.46/2,058.23 = 828.33/x
  3. Step 3: Cross multiply
    1,491.46x = 2,058.23 × 828.33
  4. Step 4: Simplify right side
    1,491.46x = 1,704,893.66
  5. Step 5: Solve for x
    x = 1,704,893.66/1,491.46
  6. Step 6: Final answer
    x = 1,143.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.