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Finding the Fourth Proportional to 676.23, 1,015.02 and 429.72

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Solution

The fourth proportional to 676.23, 1,015.02 and 429.72 is: 645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.23 : 1,015.02 = 429.72 : x
  2. Step 2: Convert to fraction form
    676.23/1,015.02 = 429.72/x
  3. Step 3: Cross multiply
    676.23x = 1,015.02 × 429.72
  4. Step 4: Simplify right side
    676.23x = 436,174.39
  5. Step 5: Solve for x
    x = 436,174.39/676.23
  6. Step 6: Final answer
    x = 645.01

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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.