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Finding the Fourth Proportional to 1,020.92, 1,408.90 and 578.81

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Solution

The fourth proportional to 1,020.92, 1,408.90 and 578.81 is: 798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.92 : 1,408.90 = 578.81 : x
  2. Step 2: Convert to fraction form
    1,020.92/1,408.90 = 578.81/x
  3. Step 3: Cross multiply
    1,020.92x = 1,408.90 × 578.81
  4. Step 4: Simplify right side
    1,020.92x = 815,485.41
  5. Step 5: Solve for x
    x = 815,485.41/1,020.92
  6. Step 6: Final answer
    x = 798.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.