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Finding the Fourth Proportional to 984.93, 1,360.59 and 896.27

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Solution

The fourth proportional to 984.93, 1,360.59 and 896.27 is: 1,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.93 : 1,360.59 = 896.27 : x
  2. Step 2: Convert to fraction form
    984.93/1,360.59 = 896.27/x
  3. Step 3: Cross multiply
    984.93x = 1,360.59 × 896.27
  4. Step 4: Simplify right side
    984.93x = 1,219,449.20
  5. Step 5: Solve for x
    x = 1,219,449.20/984.93
  6. Step 6: Final answer
    x = 1,238.11

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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.