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Finding the Fourth Proportional to 1,048.96, 1,448.72 and 716.80

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Solution

The fourth proportional to 1,048.96, 1,448.72 and 716.80 is: 989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.96 : 1,448.72 = 716.80 : x
  2. Step 2: Convert to fraction form
    1,048.96/1,448.72 = 716.80/x
  3. Step 3: Cross multiply
    1,048.96x = 1,448.72 × 716.80
  4. Step 4: Simplify right side
    1,048.96x = 1,038,442.50
  5. Step 5: Solve for x
    x = 1,038,442.50/1,048.96
  6. Step 6: Final answer
    x = 989.97

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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.