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Finding the Fourth Proportional to 1,752.33, 2,629.56 and 778.51

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Solution

The fourth proportional to 1,752.33, 2,629.56 and 778.51 is: 1,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.33 : 2,629.56 = 778.51 : x
  2. Step 2: Convert to fraction form
    1,752.33/2,629.56 = 778.51/x
  3. Step 3: Cross multiply
    1,752.33x = 2,629.56 × 778.51
  4. Step 4: Simplify right side
    1,752.33x = 2,047,144.96
  5. Step 5: Solve for x
    x = 2,047,144.96/1,752.33
  6. Step 6: Final answer
    x = 1,168.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.