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Finding the Fourth Proportional to 1,764.53, 2,435.01 and 978.58

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Solution

The fourth proportional to 1,764.53, 2,435.01 and 978.58 is: 1,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.53 : 2,435.01 = 978.58 : x
  2. Step 2: Convert to fraction form
    1,764.53/2,435.01 = 978.58/x
  3. Step 3: Cross multiply
    1,764.53x = 2,435.01 × 978.58
  4. Step 4: Simplify right side
    1,764.53x = 2,382,852.09
  5. Step 5: Solve for x
    x = 2,382,852.09/1,764.53
  6. Step 6: Final answer
    x = 1,350.42

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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.