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Finding the Fourth Proportional to 839.03, 1,157.46 and 489.50

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Solution

The fourth proportional to 839.03, 1,157.46 and 489.50 is: 675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.03 : 1,157.46 = 489.50 : x
  2. Step 2: Convert to fraction form
    839.03/1,157.46 = 489.50/x
  3. Step 3: Cross multiply
    839.03x = 1,157.46 × 489.50
  4. Step 4: Simplify right side
    839.03x = 566,576.67
  5. Step 5: Solve for x
    x = 566,576.67/839.03
  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.