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Finding the Fourth Proportional to 428.20, 601.10 and 428.20

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Solution

The fourth proportional to 428.20, 601.10 and 428.20 is: 601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.20 : 601.10 = 428.20 : x
  2. Step 2: Convert to fraction form
    428.20/601.10 = 428.20/x
  3. Step 3: Cross multiply
    428.20x = 601.10 × 428.20
  4. Step 4: Simplify right side
    428.20x = 257,391.02
  5. Step 5: Solve for x
    x = 257,391.02/428.20
  6. Step 6: Final answer
    x = 601.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.