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Finding the Fourth Proportional to 838.76, 1,157.22 and 489.32

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Solution

The fourth proportional to 838.76, 1,157.22 and 489.32 is: 675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.76 : 1,157.22 = 489.32 : x
  2. Step 2: Convert to fraction form
    838.76/1,157.22 = 489.32/x
  3. Step 3: Cross multiply
    838.76x = 1,157.22 × 489.32
  4. Step 4: Simplify right side
    838.76x = 566,250.89
  5. Step 5: Solve for x
    x = 566,250.89/838.76
  6. Step 6: Final answer
    x = 675.10

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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.