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Finding the Fourth Proportional to 1,361.23, 1,878.63 and 837.25

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Solution

The fourth proportional to 1,361.23, 1,878.63 and 837.25 is: 1,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.23 : 1,878.63 = 837.25 : x
  2. Step 2: Convert to fraction form
    1,361.23/1,878.63 = 837.25/x
  3. Step 3: Cross multiply
    1,361.23x = 1,878.63 × 837.25
  4. Step 4: Simplify right side
    1,361.23x = 1,572,882.97
  5. Step 5: Solve for x
    x = 1,572,882.97/1,361.23
  6. Step 6: Final answer
    x = 1,155.49

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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.