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Finding the Fourth Proportional to 936.96, 1,407.60 and 677.76

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Solution

The fourth proportional to 936.96, 1,407.60 and 677.76 is: 1,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.96 : 1,407.60 = 677.76 : x
  2. Step 2: Convert to fraction form
    936.96/1,407.60 = 677.76/x
  3. Step 3: Cross multiply
    936.96x = 1,407.60 × 677.76
  4. Step 4: Simplify right side
    936.96x = 954,014.98
  5. Step 5: Solve for x
    x = 954,014.98/936.96
  6. Step 6: Final answer
    x = 1,018.20

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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.