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Finding the Fourth Proportional to 444.64, 609.20 and 428.28

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Solution

The fourth proportional to 444.64, 609.20 and 428.28 is: 586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.64 : 609.20 = 428.28 : x
  2. Step 2: Convert to fraction form
    444.64/609.20 = 428.28/x
  3. Step 3: Cross multiply
    444.64x = 609.20 × 428.28
  4. Step 4: Simplify right side
    444.64x = 260,908.18
  5. Step 5: Solve for x
    x = 260,908.18/444.64
  6. Step 6: Final answer
    x = 586.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.