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Finding the Fourth Proportional to 1,020.33, 1,408.05 and 554.58

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Solution

The fourth proportional to 1,020.33, 1,408.05 and 554.58 is: 765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.33 : 1,408.05 = 554.58 : x
  2. Step 2: Convert to fraction form
    1,020.33/1,408.05 = 554.58/x
  3. Step 3: Cross multiply
    1,020.33x = 1,408.05 × 554.58
  4. Step 4: Simplify right side
    1,020.33x = 780,876.37
  5. Step 5: Solve for x
    x = 780,876.37/1,020.33
  6. Step 6: Final answer
    x = 765.32

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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.