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Finding the Fourth Proportional to 2,256.67, 3,385.55 and 775.91

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Solution

The fourth proportional to 2,256.67, 3,385.55 and 775.91 is: 1,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.67 : 3,385.55 = 775.91 : x
  2. Step 2: Convert to fraction form
    2,256.67/3,385.55 = 775.91/x
  3. Step 3: Cross multiply
    2,256.67x = 3,385.55 × 775.91
  4. Step 4: Simplify right side
    2,256.67x = 2,626,879.81
  5. Step 5: Solve for x
    x = 2,626,879.81/2,256.67
  6. Step 6: Final answer
    x = 1,164.05

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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.