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Finding the Fourth Proportional to 1,421.40, 2,132.40 and 447.50

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Solution

The fourth proportional to 1,421.40, 2,132.40 and 447.50 is: 671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.40 : 2,132.40 = 447.50 : x
  2. Step 2: Convert to fraction form
    1,421.40/2,132.40 = 447.50/x
  3. Step 3: Cross multiply
    1,421.40x = 2,132.40 × 447.50
  4. Step 4: Simplify right side
    1,421.40x = 954,249
  5. Step 5: Solve for x
    x = 954,249/1,421.40
  6. Step 6: Final answer
    x = 671.34

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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.