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Finding the Fourth Proportional to 1,421.77, 2,132.67 and 447.89

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Solution

The fourth proportional to 1,421.77, 2,132.67 and 447.89 is: 671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.77 : 2,132.67 = 447.89 : x
  2. Step 2: Convert to fraction form
    1,421.77/2,132.67 = 447.89/x
  3. Step 3: Cross multiply
    1,421.77x = 2,132.67 × 447.89
  4. Step 4: Simplify right side
    1,421.77x = 955,201.57
  5. Step 5: Solve for x
    x = 955,201.57/1,421.77
  6. Step 6: Final answer
    x = 671.84

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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.