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Finding the Fourth Proportional to 447.66, 614.39 and 435.51

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Solution

The fourth proportional to 447.66, 614.39 and 435.51 is: 597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.66 : 614.39 = 435.51 : x
  2. Step 2: Convert to fraction form
    447.66/614.39 = 435.51/x
  3. Step 3: Cross multiply
    447.66x = 614.39 × 435.51
  4. Step 4: Simplify right side
    447.66x = 267,570.81
  5. Step 5: Solve for x
    x = 267,570.81/447.66
  6. Step 6: Final answer
    x = 597.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.