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Finding the Fourth Proportional to 1,378.37, 1,902.31 and 781.04

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Solution

The fourth proportional to 1,378.37, 1,902.31 and 781.04 is: 1,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.37 : 1,902.31 = 781.04 : x
  2. Step 2: Convert to fraction form
    1,378.37/1,902.31 = 781.04/x
  3. Step 3: Cross multiply
    1,378.37x = 1,902.31 × 781.04
  4. Step 4: Simplify right side
    1,378.37x = 1,485,768.74
  5. Step 5: Solve for x
    x = 1,485,768.74/1,378.37
  6. Step 6: Final answer
    x = 1,077.92

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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.