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Finding the Fourth Proportional to 1,241.46, 1,712.85 and 821.68

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Solution

The fourth proportional to 1,241.46, 1,712.85 and 821.68 is: 1,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.46 : 1,712.85 = 821.68 : x
  2. Step 2: Convert to fraction form
    1,241.46/1,712.85 = 821.68/x
  3. Step 3: Cross multiply
    1,241.46x = 1,712.85 × 821.68
  4. Step 4: Simplify right side
    1,241.46x = 1,407,407.22
  5. Step 5: Solve for x
    x = 1,407,407.22/1,241.46
  6. Step 6: Final answer
    x = 1,133.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.