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Finding the Fourth Proportional to 1,412.88, 2,119.60 and 438.94

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Solution

The fourth proportional to 1,412.88, 2,119.60 and 438.94 is: 658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.88 : 2,119.60 = 438.94 : x
  2. Step 2: Convert to fraction form
    1,412.88/2,119.60 = 438.94/x
  3. Step 3: Cross multiply
    1,412.88x = 2,119.60 × 438.94
  4. Step 4: Simplify right side
    1,412.88x = 930,377.22
  5. Step 5: Solve for x
    x = 930,377.22/1,412.88
  6. Step 6: Final answer
    x = 658.50

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1.5x scale

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.