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Finding the Fourth Proportional to 1,293.95, 1,938.17 and 804.60

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Solution

The fourth proportional to 1,293.95, 1,938.17 and 804.60 is: 1,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.95 : 1,938.17 = 804.60 : x
  2. Step 2: Convert to fraction form
    1,293.95/1,938.17 = 804.60/x
  3. Step 3: Cross multiply
    1,293.95x = 1,938.17 × 804.60
  4. Step 4: Simplify right side
    1,293.95x = 1,559,453.59
  5. Step 5: Solve for x
    x = 1,559,453.59/1,293.95
  6. Step 6: Final answer
    x = 1,205.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.