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Finding the Fourth Proportional to 1,267.37, 1,901.06 and 401.75

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Solution

The fourth proportional to 1,267.37, 1,901.06 and 401.75 is: 602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.37 : 1,901.06 = 401.75 : x
  2. Step 2: Convert to fraction form
    1,267.37/1,901.06 = 401.75/x
  3. Step 3: Cross multiply
    1,267.37x = 1,901.06 × 401.75
  4. Step 4: Simplify right side
    1,267.37x = 763,750.86
  5. Step 5: Solve for x
    x = 763,750.86/1,267.37
  6. Step 6: Final answer
    x = 602.63

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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.