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Finding the Fourth Proportional to 783.85, 1,081.92 and 452.31

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Solution

The fourth proportional to 783.85, 1,081.92 and 452.31 is: 624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.85 : 1,081.92 = 452.31 : x
  2. Step 2: Convert to fraction form
    783.85/1,081.92 = 452.31/x
  3. Step 3: Cross multiply
    783.85x = 1,081.92 × 452.31
  4. Step 4: Simplify right side
    783.85x = 489,363.24
  5. Step 5: Solve for x
    x = 489,363.24/783.85
  6. Step 6: Final answer
    x = 624.31

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Why These Related Problems?

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