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Finding the Fourth Proportional to 873.64, 1,205.94 and 843.40

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Solution

The fourth proportional to 873.64, 1,205.94 and 843.40 is: 1,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.64 : 1,205.94 = 843.40 : x
  2. Step 2: Convert to fraction form
    873.64/1,205.94 = 843.40/x
  3. Step 3: Cross multiply
    873.64x = 1,205.94 × 843.40
  4. Step 4: Simplify right side
    873.64x = 1,017,089.80
  5. Step 5: Solve for x
    x = 1,017,089.80/873.64
  6. Step 6: Final answer
    x = 1,164.20

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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.