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Finding the Fourth Proportional to 1,442.61, 2,163.78 and 468.63

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Solution

The fourth proportional to 1,442.61, 2,163.78 and 468.63 is: 702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.61 : 2,163.78 = 468.63 : x
  2. Step 2: Convert to fraction form
    1,442.61/2,163.78 = 468.63/x
  3. Step 3: Cross multiply
    1,442.61x = 2,163.78 × 468.63
  4. Step 4: Simplify right side
    1,442.61x = 1,014,012.22
  5. Step 5: Solve for x
    x = 1,014,012.22/1,442.61
  6. Step 6: Final answer
    x = 702.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.