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Finding the Fourth Proportional to 1,340.69, 2,010.81 and 820.50

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Solution

The fourth proportional to 1,340.69, 2,010.81 and 820.50 is: 1,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.69 : 2,010.81 = 820.50 : x
  2. Step 2: Convert to fraction form
    1,340.69/2,010.81 = 820.50/x
  3. Step 3: Cross multiply
    1,340.69x = 2,010.81 × 820.50
  4. Step 4: Simplify right side
    1,340.69x = 1,649,869.61
  5. Step 5: Solve for x
    x = 1,649,869.61/1,340.69
  6. Step 6: Final answer
    x = 1,230.62

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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.