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Finding the Fourth Proportional to 984.51, 1,357.95 and 611.10

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Solution

The fourth proportional to 984.51, 1,357.95 and 611.10 is: 842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.51 : 1,357.95 = 611.10 : x
  2. Step 2: Convert to fraction form
    984.51/1,357.95 = 611.10/x
  3. Step 3: Cross multiply
    984.51x = 1,357.95 × 611.10
  4. Step 4: Simplify right side
    984.51x = 829,843.25
  5. Step 5: Solve for x
    x = 829,843.25/984.51
  6. Step 6: Final answer
    x = 842.90

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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.