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Finding the Fourth Proportional to 1,474.04, 2,211.03 and 378.39

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Solution

The fourth proportional to 1,474.04, 2,211.03 and 378.39 is: 567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.04 : 2,211.03 = 378.39 : x
  2. Step 2: Convert to fraction form
    1,474.04/2,211.03 = 378.39/x
  3. Step 3: Cross multiply
    1,474.04x = 2,211.03 × 378.39
  4. Step 4: Simplify right side
    1,474.04x = 836,631.64
  5. Step 5: Solve for x
    x = 836,631.64/1,474.04
  6. Step 6: Final answer
    x = 567.58

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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.