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Finding the Fourth Proportional to 918.72, 1,378.08 and 676.44

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Solution

The fourth proportional to 918.72, 1,378.08 and 676.44 is: 1,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.72 : 1,378.08 = 676.44 : x
  2. Step 2: Convert to fraction form
    918.72/1,378.08 = 676.44/x
  3. Step 3: Cross multiply
    918.72x = 1,378.08 × 676.44
  4. Step 4: Simplify right side
    918.72x = 932,188.44
  5. Step 5: Solve for x
    x = 932,188.44/918.72
  6. Step 6: Final answer
    x = 1,014.66

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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.