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Finding the Fourth Proportional to 1,315.34, 1,813.49 and 1,078.43

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Solution

The fourth proportional to 1,315.34, 1,813.49 and 1,078.43 is: 1,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.34 : 1,813.49 = 1,078.43 : x
  2. Step 2: Convert to fraction form
    1,315.34/1,813.49 = 1,078.43/x
  3. Step 3: Cross multiply
    1,315.34x = 1,813.49 × 1,078.43
  4. Step 4: Simplify right side
    1,315.34x = 1,955,716.63
  5. Step 5: Solve for x
    x = 1,955,716.63/1,315.34
  6. Step 6: Final answer
    x = 1,486.85

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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.