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Finding the Fourth Proportional to 783.88, 1,081.80 and 452.32

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Solution

The fourth proportional to 783.88, 1,081.80 and 452.32 is: 624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.88 : 1,081.80 = 452.32 : x
  2. Step 2: Convert to fraction form
    783.88/1,081.80 = 452.32/x
  3. Step 3: Cross multiply
    783.88x = 1,081.80 × 452.32
  4. Step 4: Simplify right side
    783.88x = 489,319.78
  5. Step 5: Solve for x
    x = 489,319.78/783.88
  6. Step 6: Final answer
    x = 624.23

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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.