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Finding the Fourth Proportional to 1,219.83, 1,682.66 and 847.13

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Solution

The fourth proportional to 1,219.83, 1,682.66 and 847.13 is: 1,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.83 : 1,682.66 = 847.13 : x
  2. Step 2: Convert to fraction form
    1,219.83/1,682.66 = 847.13/x
  3. Step 3: Cross multiply
    1,219.83x = 1,682.66 × 847.13
  4. Step 4: Simplify right side
    1,219.83x = 1,425,419.12
  5. Step 5: Solve for x
    x = 1,425,419.12/1,219.83
  6. Step 6: Final answer
    x = 1,168.54

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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.