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Finding the Fourth Proportional to 676.89, 1,015.40 and 311.72

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Solution

The fourth proportional to 676.89, 1,015.40 and 311.72 is: 467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.89 : 1,015.40 = 311.72 : x
  2. Step 2: Convert to fraction form
    676.89/1,015.40 = 311.72/x
  3. Step 3: Cross multiply
    676.89x = 1,015.40 × 311.72
  4. Step 4: Simplify right side
    676.89x = 316,516.19
  5. Step 5: Solve for x
    x = 316,516.19/676.89
  6. Step 6: Final answer
    x = 467.60

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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.