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Finding the Fourth Proportional to 785.89, 1,178.71 and 352.95

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Solution

The fourth proportional to 785.89, 1,178.71 and 352.95 is: 529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.89 : 1,178.71 = 352.95 : x
  2. Step 2: Convert to fraction form
    785.89/1,178.71 = 352.95/x
  3. Step 3: Cross multiply
    785.89x = 1,178.71 × 352.95
  4. Step 4: Simplify right side
    785.89x = 416,025.69
  5. Step 5: Solve for x
    x = 416,025.69/785.89
  6. Step 6: Final answer
    x = 529.37

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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.