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Finding the Fourth Proportional to 1,020.54, 1,408.30 and 578.49

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Solution

The fourth proportional to 1,020.54, 1,408.30 and 578.49 is: 798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.54 : 1,408.30 = 578.49 : x
  2. Step 2: Convert to fraction form
    1,020.54/1,408.30 = 578.49/x
  3. Step 3: Cross multiply
    1,020.54x = 1,408.30 × 578.49
  4. Step 4: Simplify right side
    1,020.54x = 814,687.47
  5. Step 5: Solve for x
    x = 814,687.47/1,020.54
  6. Step 6: Final answer
    x = 798.29

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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.