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Finding the Fourth Proportional to 1,020.67, 1,408.52 and 554.92

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Solution

The fourth proportional to 1,020.67, 1,408.52 and 554.92 is: 765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.67 : 1,408.52 = 554.92 : x
  2. Step 2: Convert to fraction form
    1,020.67/1,408.52 = 554.92/x
  3. Step 3: Cross multiply
    1,020.67x = 1,408.52 × 554.92
  4. Step 4: Simplify right side
    1,020.67x = 781,613.78
  5. Step 5: Solve for x
    x = 781,613.78/1,020.67
  6. Step 6: Final answer
    x = 765.79

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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.