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Finding the Fourth Proportional to 940.86, 1,409.49 and 787.77

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Solution

The fourth proportional to 940.86, 1,409.49 and 787.77 is: 1,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.86 : 1,409.49 = 787.77 : x
  2. Step 2: Convert to fraction form
    940.86/1,409.49 = 787.77/x
  3. Step 3: Cross multiply
    940.86x = 1,409.49 × 787.77
  4. Step 4: Simplify right side
    940.86x = 1,110,353.94
  5. Step 5: Solve for x
    x = 1,110,353.94/940.86
  6. Step 6: Final answer
    x = 1,180.15

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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.