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Finding the Fourth Proportional to 839.10, 1,157.49 and 489.72

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Solution

The fourth proportional to 839.10, 1,157.49 and 489.72 is: 675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.10 : 1,157.49 = 489.72 : x
  2. Step 2: Convert to fraction form
    839.10/1,157.49 = 489.72/x
  3. Step 3: Cross multiply
    839.10x = 1,157.49 × 489.72
  4. Step 4: Simplify right side
    839.10x = 566,846.00
  5. Step 5: Solve for x
    x = 566,846.00/839.10
  6. Step 6: Final answer
    x = 675.54

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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.