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Finding the Fourth Proportional to 676.20, 1,013.10 and 553.80

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Solution

The fourth proportional to 676.20, 1,013.10 and 553.80 is: 829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.20 : 1,013.10 = 553.80 : x
  2. Step 2: Convert to fraction form
    676.20/1,013.10 = 553.80/x
  3. Step 3: Cross multiply
    676.20x = 1,013.10 × 553.80
  4. Step 4: Simplify right side
    676.20x = 561,054.78
  5. Step 5: Solve for x
    x = 561,054.78/676.20
  6. Step 6: Final answer
    x = 829.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.