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Finding the Fourth Proportional to 538.14, 742.35 and 419.91

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Solution

The fourth proportional to 538.14, 742.35 and 419.91 is: 579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 742.35 = 419.91 : x
  2. Step 2: Convert to fraction form
    538.14/742.35 = 419.91/x
  3. Step 3: Cross multiply
    538.14x = 742.35 × 419.91
  4. Step 4: Simplify right side
    538.14x = 311,720.19
  5. Step 5: Solve for x
    x = 311,720.19/538.14
  6. Step 6: Final answer
    x = 579.25

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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.