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Finding the Fourth Proportional to 1,387.50, 1,914.81 and 798.22

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Solution

The fourth proportional to 1,387.50, 1,914.81 and 798.22 is: 1,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.50 : 1,914.81 = 798.22 : x
  2. Step 2: Convert to fraction form
    1,387.50/1,914.81 = 798.22/x
  3. Step 3: Cross multiply
    1,387.50x = 1,914.81 × 798.22
  4. Step 4: Simplify right side
    1,387.50x = 1,528,439.04
  5. Step 5: Solve for x
    x = 1,528,439.04/1,387.50
  6. Step 6: Final answer
    x = 1,101.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.