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Finding the Fourth Proportional to 1,419.73, 2,129.89 and 432.57

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Solution

The fourth proportional to 1,419.73, 2,129.89 and 432.57 is: 648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.73 : 2,129.89 = 432.57 : x
  2. Step 2: Convert to fraction form
    1,419.73/2,129.89 = 432.57/x
  3. Step 3: Cross multiply
    1,419.73x = 2,129.89 × 432.57
  4. Step 4: Simplify right side
    1,419.73x = 921,326.52
  5. Step 5: Solve for x
    x = 921,326.52/1,419.73
  6. Step 6: Final answer
    x = 648.94

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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.