Home / 1,643.08-2,463.34-820.94

Finding the Fourth Proportional to 1,643.08, 2,463.34 and 820.94

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Solution

The fourth proportional to 1,643.08, 2,463.34 and 820.94 is: 1,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.08 : 2,463.34 = 820.94 : x
  2. Step 2: Convert to fraction form
    1,643.08/2,463.34 = 820.94/x
  3. Step 3: Cross multiply
    1,643.08x = 2,463.34 × 820.94
  4. Step 4: Simplify right side
    1,643.08x = 2,022,254.34
  5. Step 5: Solve for x
    x = 2,022,254.34/1,643.08
  6. Step 6: Final answer
    x = 1,230.77

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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.