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Finding the Fourth Proportional to 1,274.56, 1,912.13 and 397.01

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Solution

The fourth proportional to 1,274.56, 1,912.13 and 397.01 is: 595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.56 : 1,912.13 = 397.01 : x
  2. Step 2: Convert to fraction form
    1,274.56/1,912.13 = 397.01/x
  3. Step 3: Cross multiply
    1,274.56x = 1,912.13 × 397.01
  4. Step 4: Simplify right side
    1,274.56x = 759,140.50
  5. Step 5: Solve for x
    x = 759,140.50/1,274.56
  6. Step 6: Final answer
    x = 595.61

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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.