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Finding the Fourth Proportional to 783.62, 1,081.60 and 489.24

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Solution

The fourth proportional to 783.62, 1,081.60 and 489.24 is: 675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.62 : 1,081.60 = 489.24 : x
  2. Step 2: Convert to fraction form
    783.62/1,081.60 = 489.24/x
  3. Step 3: Cross multiply
    783.62x = 1,081.60 × 489.24
  4. Step 4: Simplify right side
    783.62x = 529,161.98
  5. Step 5: Solve for x
    x = 529,161.98/783.62
  6. Step 6: Final answer
    x = 675.28

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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.