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Finding the Fourth Proportional to 676.83, 1,015.11 and 430.05

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Solution

The fourth proportional to 676.83, 1,015.11 and 430.05 is: 644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.83 : 1,015.11 = 430.05 : x
  2. Step 2: Convert to fraction form
    676.83/1,015.11 = 430.05/x
  3. Step 3: Cross multiply
    676.83x = 1,015.11 × 430.05
  4. Step 4: Simplify right side
    676.83x = 436,548.06
  5. Step 5: Solve for x
    x = 436,548.06/676.83
  6. Step 6: Final answer
    x = 644.99

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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.