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Finding the Fourth Proportional to 783.89, 1,081.61 and 452.42

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Solution

The fourth proportional to 783.89, 1,081.61 and 452.42 is: 624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.89 : 1,081.61 = 452.42 : x
  2. Step 2: Convert to fraction form
    783.89/1,081.61 = 452.42/x
  3. Step 3: Cross multiply
    783.89x = 1,081.61 × 452.42
  4. Step 4: Simplify right side
    783.89x = 489,340.08
  5. Step 5: Solve for x
    x = 489,340.08/783.89
  6. Step 6: Final answer
    x = 624.25

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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.