Home / 1,421.56-2,132.43-447.70

Finding the Fourth Proportional to 1,421.56, 2,132.43 and 447.70

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Solution

The fourth proportional to 1,421.56, 2,132.43 and 447.70 is: 671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.56 : 2,132.43 = 447.70 : x
  2. Step 2: Convert to fraction form
    1,421.56/2,132.43 = 447.70/x
  3. Step 3: Cross multiply
    1,421.56x = 2,132.43 × 447.70
  4. Step 4: Simplify right side
    1,421.56x = 954,688.91
  5. Step 5: Solve for x
    x = 954,688.91/1,421.56
  6. Step 6: Final answer
    x = 671.58

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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.