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Finding the Fourth Proportional to 442.44, 660.24 and 420.57

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Solution

The fourth proportional to 442.44, 660.24 and 420.57 is: 627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.44 : 660.24 = 420.57 : x
  2. Step 2: Convert to fraction form
    442.44/660.24 = 420.57/x
  3. Step 3: Cross multiply
    442.44x = 660.24 × 420.57
  4. Step 4: Simplify right side
    442.44x = 277,677.14
  5. Step 5: Solve for x
    x = 277,677.14/442.44
  6. Step 6: Final answer
    x = 627.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.