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Finding the Fourth Proportional to 1,295.46, 1,788.15 and 829.71

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Solution

The fourth proportional to 1,295.46, 1,788.15 and 829.71 is: 1,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.46 : 1,788.15 = 829.71 : x
  2. Step 2: Convert to fraction form
    1,295.46/1,788.15 = 829.71/x
  3. Step 3: Cross multiply
    1,295.46x = 1,788.15 × 829.71
  4. Step 4: Simplify right side
    1,295.46x = 1,483,645.94
  5. Step 5: Solve for x
    x = 1,483,645.94/1,295.46
  6. Step 6: Final answer
    x = 1,145.27

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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.