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Finding the Fourth Proportional to 676.40, 928.80 and 544.40

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Solution

The fourth proportional to 676.40, 928.80 and 544.40 is: 747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.40 : 928.80 = 544.40 : x
  2. Step 2: Convert to fraction form
    676.40/928.80 = 544.40/x
  3. Step 3: Cross multiply
    676.40x = 928.80 × 544.40
  4. Step 4: Simplify right side
    676.40x = 505,638.72
  5. Step 5: Solve for x
    x = 505,638.72/676.40
  6. Step 6: Final answer
    x = 747.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.