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Finding the Fourth Proportional to 984.63, 1,359.06 and 611.40

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Solution

The fourth proportional to 984.63, 1,359.06 and 611.40 is: 843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.63 : 1,359.06 = 611.40 : x
  2. Step 2: Convert to fraction form
    984.63/1,359.06 = 611.40/x
  3. Step 3: Cross multiply
    984.63x = 1,359.06 × 611.40
  4. Step 4: Simplify right side
    984.63x = 830,929.28
  5. Step 5: Solve for x
    x = 830,929.28/984.63
  6. Step 6: Final answer
    x = 843.90

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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.