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Finding the Fourth Proportional to 1,020.75, 1,408.64 and 578.69

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Solution

The fourth proportional to 1,020.75, 1,408.64 and 578.69 is: 798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.75 : 1,408.64 = 578.69 : x
  2. Step 2: Convert to fraction form
    1,020.75/1,408.64 = 578.69/x
  3. Step 3: Cross multiply
    1,020.75x = 1,408.64 × 578.69
  4. Step 4: Simplify right side
    1,020.75x = 815,167.59
  5. Step 5: Solve for x
    x = 815,167.59/1,020.75
  6. Step 6: Final answer
    x = 798.60

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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.