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Finding the Fourth Proportional to 1,352.91, 2,029.60 and 428.45

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Solution

The fourth proportional to 1,352.91, 2,029.60 and 428.45 is: 642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.91 : 2,029.60 = 428.45 : x
  2. Step 2: Convert to fraction form
    1,352.91/2,029.60 = 428.45/x
  3. Step 3: Cross multiply
    1,352.91x = 2,029.60 × 428.45
  4. Step 4: Simplify right side
    1,352.91x = 869,586.12
  5. Step 5: Solve for x
    x = 869,586.12/1,352.91
  6. Step 6: Final answer
    x = 642.75

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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.