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Finding the Fourth Proportional to 676.86, 1,015.41 and 214.76

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Solution

The fourth proportional to 676.86, 1,015.41 and 214.76 is: 322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.86 : 1,015.41 = 214.76 : x
  2. Step 2: Convert to fraction form
    676.86/1,015.41 = 214.76/x
  3. Step 3: Cross multiply
    676.86x = 1,015.41 × 214.76
  4. Step 4: Simplify right side
    676.86x = 218,064.37
  5. Step 5: Solve for x
    x = 218,064.37/676.86
  6. Step 6: Final answer
    x = 322.17

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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.