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Finding the Fourth Proportional to 1,425.68, 2,138.46 and 438.48

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Solution

The fourth proportional to 1,425.68, 2,138.46 and 438.48 is: 657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.68 : 2,138.46 = 438.48 : x
  2. Step 2: Convert to fraction form
    1,425.68/2,138.46 = 438.48/x
  3. Step 3: Cross multiply
    1,425.68x = 2,138.46 × 438.48
  4. Step 4: Simplify right side
    1,425.68x = 937,671.94
  5. Step 5: Solve for x
    x = 937,671.94/1,425.68
  6. Step 6: Final answer
    x = 657.70

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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.