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Finding the Fourth Proportional to 1,378.14, 1,902.69 and 958.35

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Solution

The fourth proportional to 1,378.14, 1,902.69 and 958.35 is: 1,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.14 : 1,902.69 = 958.35 : x
  2. Step 2: Convert to fraction form
    1,378.14/1,902.69 = 958.35/x
  3. Step 3: Cross multiply
    1,378.14x = 1,902.69 × 958.35
  4. Step 4: Simplify right side
    1,378.14x = 1,823,442.96
  5. Step 5: Solve for x
    x = 1,823,442.96/1,378.14
  6. Step 6: Final answer
    x = 1,323.12

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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.