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Finding the Fourth Proportional to 984.96, 1,360.28 and 837.33

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Solution

The fourth proportional to 984.96, 1,360.28 and 837.33 is: 1,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.96 : 1,360.28 = 837.33 : x
  2. Step 2: Convert to fraction form
    984.96/1,360.28 = 837.33/x
  3. Step 3: Cross multiply
    984.96x = 1,360.28 × 837.33
  4. Step 4: Simplify right side
    984.96x = 1,138,999.07
  5. Step 5: Solve for x
    x = 1,138,999.07/984.96
  6. Step 6: Final answer
    x = 1,156.40

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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.