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Finding the Fourth Proportional to 1,352.63, 2,029.02 and 428.29

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Solution

The fourth proportional to 1,352.63, 2,029.02 and 428.29 is: 642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.63 : 2,029.02 = 428.29 : x
  2. Step 2: Convert to fraction form
    1,352.63/2,029.02 = 428.29/x
  3. Step 3: Cross multiply
    1,352.63x = 2,029.02 × 428.29
  4. Step 4: Simplify right side
    1,352.63x = 869,003.90
  5. Step 5: Solve for x
    x = 869,003.90/1,352.63
  6. Step 6: Final answer
    x = 642.45

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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.