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Finding the Fourth Proportional to 1,025.10, 1,533.99 and 820.98

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Solution

The fourth proportional to 1,025.10, 1,533.99 and 820.98 is: 1,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.10 : 1,533.99 = 820.98 : x
  2. Step 2: Convert to fraction form
    1,025.10/1,533.99 = 820.98/x
  3. Step 3: Cross multiply
    1,025.10x = 1,533.99 × 820.98
  4. Step 4: Simplify right side
    1,025.10x = 1,259,375.11
  5. Step 5: Solve for x
    x = 1,259,375.11/1,025.10
  6. Step 6: Final answer
    x = 1,228.54

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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.