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Finding the Fourth Proportional to 1,419.98, 2,129.97 and 432.80

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Solution

The fourth proportional to 1,419.98, 2,129.97 and 432.80 is: 649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.98 : 2,129.97 = 432.80 : x
  2. Step 2: Convert to fraction form
    1,419.98/2,129.97 = 432.80/x
  3. Step 3: Cross multiply
    1,419.98x = 2,129.97 × 432.80
  4. Step 4: Simplify right side
    1,419.98x = 921,840.37
  5. Step 5: Solve for x
    x = 921,840.37/1,419.98
  6. Step 6: Final answer
    x = 649.19

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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.