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Finding the Fourth Proportional to 838.96, 1,157.84 and 489.64

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Solution

The fourth proportional to 838.96, 1,157.84 and 489.64 is: 675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.96 : 1,157.84 = 489.64 : x
  2. Step 2: Convert to fraction form
    838.96/1,157.84 = 489.64/x
  3. Step 3: Cross multiply
    838.96x = 1,157.84 × 489.64
  4. Step 4: Simplify right side
    838.96x = 566,924.78
  5. Step 5: Solve for x
    x = 566,924.78/838.96
  6. Step 6: Final answer
    x = 675.75

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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.