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Finding the Fourth Proportional to 1,365.22, 1,884.15 and 775.85

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Solution

The fourth proportional to 1,365.22, 1,884.15 and 775.85 is: 1,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.22 : 1,884.15 = 775.85 : x
  2. Step 2: Convert to fraction form
    1,365.22/1,884.15 = 775.85/x
  3. Step 3: Cross multiply
    1,365.22x = 1,884.15 × 775.85
  4. Step 4: Simplify right side
    1,365.22x = 1,461,813.90
  5. Step 5: Solve for x
    x = 1,461,813.90/1,365.22
  6. Step 6: Final answer
    x = 1,070.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.