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Finding the Fourth Proportional to 1,642.33, 2,461.44 and 820.83

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Solution

The fourth proportional to 1,642.33, 2,461.44 and 820.83 is: 1,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.33 : 2,461.44 = 820.83 : x
  2. Step 2: Convert to fraction form
    1,642.33/2,461.44 = 820.83/x
  3. Step 3: Cross multiply
    1,642.33x = 2,461.44 × 820.83
  4. Step 4: Simplify right side
    1,642.33x = 2,020,436.10
  5. Step 5: Solve for x
    x = 2,020,436.10/1,642.33
  6. Step 6: Final answer
    x = 1,230.22

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1.5x scale

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.