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Finding the Fourth Proportional to 1,389.78, 2,084.66 and 465.12

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Solution

The fourth proportional to 1,389.78, 2,084.66 and 465.12 is: 697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.78 : 2,084.66 = 465.12 : x
  2. Step 2: Convert to fraction form
    1,389.78/2,084.66 = 465.12/x
  3. Step 3: Cross multiply
    1,389.78x = 2,084.66 × 465.12
  4. Step 4: Simplify right side
    1,389.78x = 969,614.73
  5. Step 5: Solve for x
    x = 969,614.73/1,389.78
  6. Step 6: Final answer
    x = 697.67

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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.