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Finding the Fourth Proportional to 575.34, 794.20 and 427.71

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Solution

The fourth proportional to 575.34, 794.20 and 427.71 is: 590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.34 : 794.20 = 427.71 : x
  2. Step 2: Convert to fraction form
    575.34/794.20 = 427.71/x
  3. Step 3: Cross multiply
    575.34x = 794.20 × 427.71
  4. Step 4: Simplify right side
    575.34x = 339,687.28
  5. Step 5: Solve for x
    x = 339,687.28/575.34
  6. Step 6: Final answer
    x = 590.41

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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.