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Finding the Fourth Proportional to 1,267.09, 1,901.18 and 445.93

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Solution

The fourth proportional to 1,267.09, 1,901.18 and 445.93 is: 669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.09 : 1,901.18 = 445.93 : x
  2. Step 2: Convert to fraction form
    1,267.09/1,901.18 = 445.93/x
  3. Step 3: Cross multiply
    1,267.09x = 1,901.18 × 445.93
  4. Step 4: Simplify right side
    1,267.09x = 847,790.97
  5. Step 5: Solve for x
    x = 847,790.97/1,267.09
  6. Step 6: Final answer
    x = 669.09

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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.