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Finding the Fourth Proportional to 419.52, 581.59 and 397.31

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Solution

The fourth proportional to 419.52, 581.59 and 397.31 is: 550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.52 : 581.59 = 397.31 : x
  2. Step 2: Convert to fraction form
    419.52/581.59 = 397.31/x
  3. Step 3: Cross multiply
    419.52x = 581.59 × 397.31
  4. Step 4: Simplify right side
    419.52x = 231,071.06
  5. Step 5: Solve for x
    x = 231,071.06/419.52
  6. Step 6: Final answer
    x = 550.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.