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Finding the Fourth Proportional to 427.54, 590.82 and 364.52

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Solution

The fourth proportional to 427.54, 590.82 and 364.52 is: 503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.54 : 590.82 = 364.52 : x
  2. Step 2: Convert to fraction form
    427.54/590.82 = 364.52/x
  3. Step 3: Cross multiply
    427.54x = 590.82 × 364.52
  4. Step 4: Simplify right side
    427.54x = 215,365.71
  5. Step 5: Solve for x
    x = 215,365.71/427.54
  6. Step 6: Final answer
    x = 503.73

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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.