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Finding the Fourth Proportional to 440.30, 605.13 and 428.00

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Solution

The fourth proportional to 440.30, 605.13 and 428.00 is: 588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.30 : 605.13 = 428.00 : x
  2. Step 2: Convert to fraction form
    440.30/605.13 = 428.00/x
  3. Step 3: Cross multiply
    440.30x = 605.13 × 428.00
  4. Step 4: Simplify right side
    440.30x = 258,993.42
  5. Step 5: Solve for x
    x = 258,993.42/440.30
  6. Step 6: Final answer
    x = 588.22

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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.