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Finding the Fourth Proportional to 1,020.84, 1,408.77 and 578.73

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Solution

The fourth proportional to 1,020.84, 1,408.77 and 578.73 is: 798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.84 : 1,408.77 = 578.73 : x
  2. Step 2: Convert to fraction form
    1,020.84/1,408.77 = 578.73/x
  3. Step 3: Cross multiply
    1,020.84x = 1,408.77 × 578.73
  4. Step 4: Simplify right side
    1,020.84x = 815,297.46
  5. Step 5: Solve for x
    x = 815,297.46/1,020.84
  6. Step 6: Final answer
    x = 798.65

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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.