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Finding the Fourth Proportional to 1,434.54, 2,151.86 and 447.45

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Solution

The fourth proportional to 1,434.54, 2,151.86 and 447.45 is: 671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.54 : 2,151.86 = 447.45 : x
  2. Step 2: Convert to fraction form
    1,434.54/2,151.86 = 447.45/x
  3. Step 3: Cross multiply
    1,434.54x = 2,151.86 × 447.45
  4. Step 4: Simplify right side
    1,434.54x = 962,849.76
  5. Step 5: Solve for x
    x = 962,849.76/1,434.54
  6. Step 6: Final answer
    x = 671.19

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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.