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Finding the Fourth Proportional to 1,364.67, 1,883.30 and 775.31

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Solution

The fourth proportional to 1,364.67, 1,883.30 and 775.31 is: 1,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.67 : 1,883.30 = 775.31 : x
  2. Step 2: Convert to fraction form
    1,364.67/1,883.30 = 775.31/x
  3. Step 3: Cross multiply
    1,364.67x = 1,883.30 × 775.31
  4. Step 4: Simplify right side
    1,364.67x = 1,460,128.03
  5. Step 5: Solve for x
    x = 1,460,128.03/1,364.67
  6. Step 6: Final answer
    x = 1,069.95

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