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Finding the Fourth Proportional to 1,013.22, 1,520.20 and 428.37

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Solution

The fourth proportional to 1,013.22, 1,520.20 and 428.37 is: 642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.22 : 1,520.20 = 428.37 : x
  2. Step 2: Convert to fraction form
    1,013.22/1,520.20 = 428.37/x
  3. Step 3: Cross multiply
    1,013.22x = 1,520.20 × 428.37
  4. Step 4: Simplify right side
    1,013.22x = 651,208.07
  5. Step 5: Solve for x
    x = 651,208.07/1,013.22
  6. Step 6: Final answer
    x = 642.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.