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Finding the Fourth Proportional to 783.82, 1,081.92 and 452.47

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Solution

The fourth proportional to 783.82, 1,081.92 and 452.47 is: 624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.82 : 1,081.92 = 452.47 : x
  2. Step 2: Convert to fraction form
    783.82/1,081.92 = 452.47/x
  3. Step 3: Cross multiply
    783.82x = 1,081.92 × 452.47
  4. Step 4: Simplify right side
    783.82x = 489,536.34
  5. Step 5: Solve for x
    x = 489,536.34/783.82
  6. Step 6: Final answer
    x = 624.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.