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Finding the Fourth Proportional to 838.88, 1,157.78 and 489.50

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Solution

The fourth proportional to 838.88, 1,157.78 and 489.50 is: 675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.88 : 1,157.78 = 489.50 : x
  2. Step 2: Convert to fraction form
    838.88/1,157.78 = 489.50/x
  3. Step 3: Cross multiply
    838.88x = 1,157.78 × 489.50
  4. Step 4: Simplify right side
    838.88x = 566,733.31
  5. Step 5: Solve for x
    x = 566,733.31/838.88
  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.