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Finding the Fourth Proportional to 538.00, 741.46 and 419.91

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Solution

The fourth proportional to 538.00, 741.46 and 419.91 is: 578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.00 : 741.46 = 419.91 : x
  2. Step 2: Convert to fraction form
    538.00/741.46 = 419.91/x
  3. Step 3: Cross multiply
    538.00x = 741.46 × 419.91
  4. Step 4: Simplify right side
    538.00x = 311,345.42
  5. Step 5: Solve for x
    x = 311,345.42/538.00
  6. Step 6: Final answer
    x = 578.71

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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.