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Finding the Fourth Proportional to 1,474.02, 2,211.03 and 378.35

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Solution

The fourth proportional to 1,474.02, 2,211.03 and 378.35 is: 567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.02 : 2,211.03 = 378.35 : x
  2. Step 2: Convert to fraction form
    1,474.02/2,211.03 = 378.35/x
  3. Step 3: Cross multiply
    1,474.02x = 2,211.03 × 378.35
  4. Step 4: Simplify right side
    1,474.02x = 836,543.20
  5. Step 5: Solve for x
    x = 836,543.20/1,474.02
  6. Step 6: Final answer
    x = 567.53

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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.