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Finding the Fourth Proportional to 1,419.75, 2,129.63 and 393.75

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Solution

The fourth proportional to 1,419.75, 2,129.63 and 393.75 is: 590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.75 : 2,129.63 = 393.75 : x
  2. Step 2: Convert to fraction form
    1,419.75/2,129.63 = 393.75/x
  3. Step 3: Cross multiply
    1,419.75x = 2,129.63 × 393.75
  4. Step 4: Simplify right side
    1,419.75x = 838,539.84
  5. Step 5: Solve for x
    x = 838,539.84/1,419.75
  6. Step 6: Final answer
    x = 590.63

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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.