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Finding the Fourth Proportional to 1,492.89, 2,239.13 and 438.67

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Solution

The fourth proportional to 1,492.89, 2,239.13 and 438.67 is: 657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.89 : 2,239.13 = 438.67 : x
  2. Step 2: Convert to fraction form
    1,492.89/2,239.13 = 438.67/x
  3. Step 3: Cross multiply
    1,492.89x = 2,239.13 × 438.67
  4. Step 4: Simplify right side
    1,492.89x = 982,236.96
  5. Step 5: Solve for x
    x = 982,236.96/1,492.89
  6. Step 6: Final answer
    x = 657.95

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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.