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Finding the Fourth Proportional to 1,451.50, 2,003.08 and 788.36

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Solution

The fourth proportional to 1,451.50, 2,003.08 and 788.36 is: 1,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.50 : 2,003.08 = 788.36 : x
  2. Step 2: Convert to fraction form
    1,451.50/2,003.08 = 788.36/x
  3. Step 3: Cross multiply
    1,451.50x = 2,003.08 × 788.36
  4. Step 4: Simplify right side
    1,451.50x = 1,579,148.15
  5. Step 5: Solve for x
    x = 1,579,148.15/1,451.50
  6. Step 6: Final answer
    x = 1,087.94

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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.