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Finding the Fourth Proportional to 1,378.13, 1,903.43 and 911.57

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Solution

The fourth proportional to 1,378.13, 1,903.43 and 911.57 is: 1,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.13 : 1,903.43 = 911.57 : x
  2. Step 2: Convert to fraction form
    1,378.13/1,903.43 = 911.57/x
  3. Step 3: Cross multiply
    1,378.13x = 1,903.43 × 911.57
  4. Step 4: Simplify right side
    1,378.13x = 1,735,102.45
  5. Step 5: Solve for x
    x = 1,735,102.45/1,378.13
  6. Step 6: Final answer
    x = 1,259.03

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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.