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Finding the Fourth Proportional to 788.14, 1,182.51 and 355.20

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Solution

The fourth proportional to 788.14, 1,182.51 and 355.20 is: 532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.14 : 1,182.51 = 355.20 : x
  2. Step 2: Convert to fraction form
    788.14/1,182.51 = 355.20/x
  3. Step 3: Cross multiply
    788.14x = 1,182.51 × 355.20
  4. Step 4: Simplify right side
    788.14x = 420,027.55
  5. Step 5: Solve for x
    x = 420,027.55/788.14
  6. Step 6: Final answer
    x = 532.94

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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.