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Finding the Fourth Proportional to 1,266.48, 1,899.36 and 745.92

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Solution

The fourth proportional to 1,266.48, 1,899.36 and 745.92 is: 1,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.48 : 1,899.36 = 745.92 : x
  2. Step 2: Convert to fraction form
    1,266.48/1,899.36 = 745.92/x
  3. Step 3: Cross multiply
    1,266.48x = 1,899.36 × 745.92
  4. Step 4: Simplify right side
    1,266.48x = 1,416,770.61
  5. Step 5: Solve for x
    x = 1,416,770.61/1,266.48
  6. Step 6: Final answer
    x = 1,118.67

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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.