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Finding the Fourth Proportional to 1,491.11, 2,235.80 and 450.80

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Solution

The fourth proportional to 1,491.11, 2,235.80 and 450.80 is: 675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.11 : 2,235.80 = 450.80 : x
  2. Step 2: Convert to fraction form
    1,491.11/2,235.80 = 450.80/x
  3. Step 3: Cross multiply
    1,491.11x = 2,235.80 × 450.80
  4. Step 4: Simplify right side
    1,491.11x = 1,007,885.21
  5. Step 5: Solve for x
    x = 1,007,885.21/1,491.11
  6. Step 6: Final answer
    x = 675.93

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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.