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Finding the Fourth Proportional to 850.18, 1,172.32 and 738.67

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Solution

The fourth proportional to 850.18, 1,172.32 and 738.67 is: 1,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.18 : 1,172.32 = 738.67 : x
  2. Step 2: Convert to fraction form
    850.18/1,172.32 = 738.67/x
  3. Step 3: Cross multiply
    850.18x = 1,172.32 × 738.67
  4. Step 4: Simplify right side
    850.18x = 865,957.61
  5. Step 5: Solve for x
    x = 865,957.61/850.18
  6. Step 6: Final answer
    x = 1,018.56

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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.