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Finding the Fourth Proportional to 843.56, 1,164.24 and 489.50

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Solution

The fourth proportional to 843.56, 1,164.24 and 489.50 is: 675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.56 : 1,164.24 = 489.50 : x
  2. Step 2: Convert to fraction form
    843.56/1,164.24 = 489.50/x
  3. Step 3: Cross multiply
    843.56x = 1,164.24 × 489.50
  4. Step 4: Simplify right side
    843.56x = 569,895.48
  5. Step 5: Solve for x
    x = 569,895.48/843.56
  6. Step 6: Final answer
    x = 675.58

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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.