Home / 1,040.02-1,558.23-857.14

Finding the Fourth Proportional to 1,040.02, 1,558.23 and 857.14

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Solution

The fourth proportional to 1,040.02, 1,558.23 and 857.14 is: 1,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.02 : 1,558.23 = 857.14 : x
  2. Step 2: Convert to fraction form
    1,040.02/1,558.23 = 857.14/x
  3. Step 3: Cross multiply
    1,040.02x = 1,558.23 × 857.14
  4. Step 4: Simplify right side
    1,040.02x = 1,335,621.26
  5. Step 5: Solve for x
    x = 1,335,621.26/1,040.02
  6. Step 6: Final answer
    x = 1,284.23

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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.