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Finding the Fourth Proportional to 1,267.47, 1,901.20 and 401.78

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Solution

The fourth proportional to 1,267.47, 1,901.20 and 401.78 is: 602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.47 : 1,901.20 = 401.78 : x
  2. Step 2: Convert to fraction form
    1,267.47/1,901.20 = 401.78/x
  3. Step 3: Cross multiply
    1,267.47x = 1,901.20 × 401.78
  4. Step 4: Simplify right side
    1,267.47x = 763,864.14
  5. Step 5: Solve for x
    x = 763,864.14/1,267.47
  6. Step 6: Final answer
    x = 602.67

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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.