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Finding the Fourth Proportional to 1,219.82, 1,684.02 and 847.12

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Solution

The fourth proportional to 1,219.82, 1,684.02 and 847.12 is: 1,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.82 : 1,684.02 = 847.12 : x
  2. Step 2: Convert to fraction form
    1,219.82/1,684.02 = 847.12/x
  3. Step 3: Cross multiply
    1,219.82x = 1,684.02 × 847.12
  4. Step 4: Simplify right side
    1,219.82x = 1,426,567.02
  5. Step 5: Solve for x
    x = 1,426,567.02/1,219.82
  6. Step 6: Final answer
    x = 1,169.49

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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.