Home / 1,491.31-2,058.02-828.14

Finding the Fourth Proportional to 1,491.31, 2,058.02 and 828.14

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Solution

The fourth proportional to 1,491.31, 2,058.02 and 828.14 is: 1,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.31 : 2,058.02 = 828.14 : x
  2. Step 2: Convert to fraction form
    1,491.31/2,058.02 = 828.14/x
  3. Step 3: Cross multiply
    1,491.31x = 2,058.02 × 828.14
  4. Step 4: Simplify right side
    1,491.31x = 1,704,335.90
  5. Step 5: Solve for x
    x = 1,704,335.90/1,491.31
  6. Step 6: Final answer
    x = 1,142.85

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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.