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Finding the Fourth Proportional to 1,025.93, 1,538.90 and 820.23

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Solution

The fourth proportional to 1,025.93, 1,538.90 and 820.23 is: 1,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.93 : 1,538.90 = 820.23 : x
  2. Step 2: Convert to fraction form
    1,025.93/1,538.90 = 820.23/x
  3. Step 3: Cross multiply
    1,025.93x = 1,538.90 × 820.23
  4. Step 4: Simplify right side
    1,025.93x = 1,262,247.85
  5. Step 5: Solve for x
    x = 1,262,247.85/1,025.93
  6. Step 6: Final answer
    x = 1,230.35

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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.