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Finding the Fourth Proportional to 1,341.85, 2,011.15 and 820.21

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Solution

The fourth proportional to 1,341.85, 2,011.15 and 820.21 is: 1,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.85 : 2,011.15 = 820.21 : x
  2. Step 2: Convert to fraction form
    1,341.85/2,011.15 = 820.21/x
  3. Step 3: Cross multiply
    1,341.85x = 2,011.15 × 820.21
  4. Step 4: Simplify right side
    1,341.85x = 1,649,565.34
  5. Step 5: Solve for x
    x = 1,649,565.34/1,341.85
  6. Step 6: Final answer
    x = 1,229.32

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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.