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Finding the Fourth Proportional to 1,442.78, 2,164.21 and 455.60

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Solution

The fourth proportional to 1,442.78, 2,164.21 and 455.60 is: 683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.78 : 2,164.21 = 455.60 : x
  2. Step 2: Convert to fraction form
    1,442.78/2,164.21 = 455.60/x
  3. Step 3: Cross multiply
    1,442.78x = 2,164.21 × 455.60
  4. Step 4: Simplify right side
    1,442.78x = 986,014.08
  5. Step 5: Solve for x
    x = 986,014.08/1,442.78
  6. Step 6: Final answer
    x = 683.41

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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.