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Finding the Fourth Proportional to 537.38, 741.32 and 419.14

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Solution

The fourth proportional to 537.38, 741.32 and 419.14 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.38 : 741.32 = 419.14 : x
  2. Step 2: Convert to fraction form
    537.38/741.32 = 419.14/x
  3. Step 3: Cross multiply
    537.38x = 741.32 × 419.14
  4. Step 4: Simplify right side
    537.38x = 310,716.86
  5. Step 5: Solve for x
    x = 310,716.86/537.38
  6. Step 6: Final answer
    x = 578.21

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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.