Home / 1,442.02-2,163.34-468.22

Finding the Fourth Proportional to 1,442.02, 2,163.34 and 468.22

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Solution

The fourth proportional to 1,442.02, 2,163.34 and 468.22 is: 702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.02 : 2,163.34 = 468.22 : x
  2. Step 2: Convert to fraction form
    1,442.02/2,163.34 = 468.22/x
  3. Step 3: Cross multiply
    1,442.02x = 2,163.34 × 468.22
  4. Step 4: Simplify right side
    1,442.02x = 1,012,919.05
  5. Step 5: Solve for x
    x = 1,012,919.05/1,442.02
  6. Step 6: Final answer
    x = 702.43

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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.