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Finding the Fourth Proportional to 890.23, 1,334.86 and 362.67

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Solution

The fourth proportional to 890.23, 1,334.86 and 362.67 is: 543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.23 : 1,334.86 = 362.67 : x
  2. Step 2: Convert to fraction form
    890.23/1,334.86 = 362.67/x
  3. Step 3: Cross multiply
    890.23x = 1,334.86 × 362.67
  4. Step 4: Simplify right side
    890.23x = 484,113.68
  5. Step 5: Solve for x
    x = 484,113.68/890.23
  6. Step 6: Final answer
    x = 543.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.