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Finding the Fourth Proportional to 440.54, 608.01 and 428.83

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Solution

The fourth proportional to 440.54, 608.01 and 428.83 is: 591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.54 : 608.01 = 428.83 : x
  2. Step 2: Convert to fraction form
    440.54/608.01 = 428.83/x
  3. Step 3: Cross multiply
    440.54x = 608.01 × 428.83
  4. Step 4: Simplify right side
    440.54x = 260,729.80
  5. Step 5: Solve for x
    x = 260,729.80/440.54
  6. Step 6: Final answer
    x = 591.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.