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Finding the Fourth Proportional to 1,020.78, 1,408.50 and 578.58

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Solution

The fourth proportional to 1,020.78, 1,408.50 and 578.58 is: 798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.78 : 1,408.50 = 578.58 : x
  2. Step 2: Convert to fraction form
    1,020.78/1,408.50 = 578.58/x
  3. Step 3: Cross multiply
    1,020.78x = 1,408.50 × 578.58
  4. Step 4: Simplify right side
    1,020.78x = 814,929.93
  5. Step 5: Solve for x
    x = 814,929.93/1,020.78
  6. Step 6: Final answer
    x = 798.34

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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.