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Finding the Fourth Proportional to 1,478.46, 2,218.06 and 438.46

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Solution

The fourth proportional to 1,478.46, 2,218.06 and 438.46 is: 657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.46 : 2,218.06 = 438.46 : x
  2. Step 2: Convert to fraction form
    1,478.46/2,218.06 = 438.46/x
  3. Step 3: Cross multiply
    1,478.46x = 2,218.06 × 438.46
  4. Step 4: Simplify right side
    1,478.46x = 972,530.59
  5. Step 5: Solve for x
    x = 972,530.59/1,478.46
  6. Step 6: Final answer
    x = 657.80

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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.