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Finding the Fourth Proportional to 788.94, 1,182.42 and 355.50

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Solution

The fourth proportional to 788.94, 1,182.42 and 355.50 is: 532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.94 : 1,182.42 = 355.50 : x
  2. Step 2: Convert to fraction form
    788.94/1,182.42 = 355.50/x
  3. Step 3: Cross multiply
    788.94x = 1,182.42 × 355.50
  4. Step 4: Simplify right side
    788.94x = 420,350.31
  5. Step 5: Solve for x
    x = 420,350.31/788.94
  6. Step 6: Final answer
    x = 532.80

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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.