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Finding the Fourth Proportional to 785.94, 1,180.06 and 439.95

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Solution

The fourth proportional to 785.94, 1,180.06 and 439.95 is: 660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.94 : 1,180.06 = 439.95 : x
  2. Step 2: Convert to fraction form
    785.94/1,180.06 = 439.95/x
  3. Step 3: Cross multiply
    785.94x = 1,180.06 × 439.95
  4. Step 4: Simplify right side
    785.94x = 519,167.40
  5. Step 5: Solve for x
    x = 519,167.40/785.94
  6. Step 6: Final answer
    x = 660.57

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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.