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Finding the Fourth Proportional to 1,302.68, 1,954.11 and 378.25

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Solution

The fourth proportional to 1,302.68, 1,954.11 and 378.25 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.68 : 1,954.11 = 378.25 : x
  2. Step 2: Convert to fraction form
    1,302.68/1,954.11 = 378.25/x
  3. Step 3: Cross multiply
    1,302.68x = 1,954.11 × 378.25
  4. Step 4: Simplify right side
    1,302.68x = 739,138.64
  5. Step 5: Solve for x
    x = 739,138.64/1,302.68
  6. Step 6: Final answer
    x = 567.40

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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.