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Finding the Fourth Proportional to 1,048.03, 1,446.22 and 582.25

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Solution

The fourth proportional to 1,048.03, 1,446.22 and 582.25 is: 803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.03 : 1,446.22 = 582.25 : x
  2. Step 2: Convert to fraction form
    1,048.03/1,446.22 = 582.25/x
  3. Step 3: Cross multiply
    1,048.03x = 1,446.22 × 582.25
  4. Step 4: Simplify right side
    1,048.03x = 842,061.60
  5. Step 5: Solve for x
    x = 842,061.60/1,048.03
  6. Step 6: Final answer
    x = 803.47

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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.