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Finding the Fourth Proportional to 676.67, 1,017.43 and 541.40

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Solution

The fourth proportional to 676.67, 1,017.43 and 541.40 is: 814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.67 : 1,017.43 = 541.40 : x
  2. Step 2: Convert to fraction form
    676.67/1,017.43 = 541.40/x
  3. Step 3: Cross multiply
    676.67x = 1,017.43 × 541.40
  4. Step 4: Simplify right side
    676.67x = 550,830.16
  5. Step 5: Solve for x
    x = 550,830.16/676.67
  6. Step 6: Final answer
    x = 814.04

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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.