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Finding the Fourth Proportional to 444.76, 662.21 and 442.60

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Solution

The fourth proportional to 444.76, 662.21 and 442.60 is: 658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.76 : 662.21 = 442.60 : x
  2. Step 2: Convert to fraction form
    444.76/662.21 = 442.60/x
  3. Step 3: Cross multiply
    444.76x = 662.21 × 442.60
  4. Step 4: Simplify right side
    444.76x = 293,094.15
  5. Step 5: Solve for x
    x = 293,094.15/444.76
  6. Step 6: Final answer
    x = 658.99

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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.