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Finding the Fourth Proportional to 1,048.43, 1,446.72 and 628.77

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Solution

The fourth proportional to 1,048.43, 1,446.72 and 628.77 is: 867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.43 : 1,446.72 = 628.77 : x
  2. Step 2: Convert to fraction form
    1,048.43/1,446.72 = 628.77/x
  3. Step 3: Cross multiply
    1,048.43x = 1,446.72 × 628.77
  4. Step 4: Simplify right side
    1,048.43x = 909,646.90
  5. Step 5: Solve for x
    x = 909,646.90/1,048.43
  6. Step 6: Final answer
    x = 867.63

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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.