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Finding the Fourth Proportional to 1,303.07, 1,954.38 and 378.42

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Solution

The fourth proportional to 1,303.07, 1,954.38 and 378.42 is: 567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.07 : 1,954.38 = 378.42 : x
  2. Step 2: Convert to fraction form
    1,303.07/1,954.38 = 378.42/x
  3. Step 3: Cross multiply
    1,303.07x = 1,954.38 × 378.42
  4. Step 4: Simplify right side
    1,303.07x = 739,576.48
  5. Step 5: Solve for x
    x = 739,576.48/1,303.07
  6. Step 6: Final answer
    x = 567.56

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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.