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Finding the Fourth Proportional to 538.67, 742.71 and 419.07

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Solution

The fourth proportional to 538.67, 742.71 and 419.07 is: 577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.67 : 742.71 = 419.07 : x
  2. Step 2: Convert to fraction form
    538.67/742.71 = 419.07/x
  3. Step 3: Cross multiply
    538.67x = 742.71 × 419.07
  4. Step 4: Simplify right side
    538.67x = 311,251.84
  5. Step 5: Solve for x
    x = 311,251.84/538.67
  6. Step 6: Final answer
    x = 577.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.