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Finding the Fourth Proportional to 1,352.58, 2,029.37 and 475.15

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Solution

The fourth proportional to 1,352.58, 2,029.37 and 475.15 is: 712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.58 : 2,029.37 = 475.15 : x
  2. Step 2: Convert to fraction form
    1,352.58/2,029.37 = 475.15/x
  3. Step 3: Cross multiply
    1,352.58x = 2,029.37 × 475.15
  4. Step 4: Simplify right side
    1,352.58x = 964,255.16
  5. Step 5: Solve for x
    x = 964,255.16/1,352.58
  6. Step 6: Final answer
    x = 712.90

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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.