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Finding the Fourth Proportional to 1,025.00, 1,537.51 and 820.86

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Solution

The fourth proportional to 1,025.00, 1,537.51 and 820.86 is: 1,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.00 : 1,537.51 = 820.86 : x
  2. Step 2: Convert to fraction form
    1,025.00/1,537.51 = 820.86/x
  3. Step 3: Cross multiply
    1,025.00x = 1,537.51 × 820.86
  4. Step 4: Simplify right side
    1,025.00x = 1,262,076.20
  5. Step 5: Solve for x
    x = 1,262,076.20/1,025.00
  6. Step 6: Final answer
    x = 1,231.29

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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.