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Finding the Fourth Proportional to 1,478.50, 2,218.13 and 438.54

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Solution

The fourth proportional to 1,478.50, 2,218.13 and 438.54 is: 657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.50 : 2,218.13 = 438.54 : x
  2. Step 2: Convert to fraction form
    1,478.50/2,218.13 = 438.54/x
  3. Step 3: Cross multiply
    1,478.50x = 2,218.13 × 438.54
  4. Step 4: Simplify right side
    1,478.50x = 972,738.73
  5. Step 5: Solve for x
    x = 972,738.73/1,478.50
  6. Step 6: Final answer
    x = 657.92

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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.