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Finding the Fourth Proportional to 911.86, 1,360.67 and 813.68

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Solution

The fourth proportional to 911.86, 1,360.67 and 813.68 is: 1,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.86 : 1,360.67 = 813.68 : x
  2. Step 2: Convert to fraction form
    911.86/1,360.67 = 813.68/x
  3. Step 3: Cross multiply
    911.86x = 1,360.67 × 813.68
  4. Step 4: Simplify right side
    911.86x = 1,107,145.90
  5. Step 5: Solve for x
    x = 1,107,145.90/911.86
  6. Step 6: Final answer
    x = 1,214.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.