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Finding the Fourth Proportional to 788.42, 1,182.77 and 294.78

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Solution

The fourth proportional to 788.42, 1,182.77 and 294.78 is: 442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.42 : 1,182.77 = 294.78 : x
  2. Step 2: Convert to fraction form
    788.42/1,182.77 = 294.78/x
  3. Step 3: Cross multiply
    788.42x = 1,182.77 × 294.78
  4. Step 4: Simplify right side
    788.42x = 348,657.68
  5. Step 5: Solve for x
    x = 348,657.68/788.42
  6. Step 6: Final answer
    x = 442.22

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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.