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Finding the Fourth Proportional to 575.08, 793.36 and 428.06

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Solution

The fourth proportional to 575.08, 793.36 and 428.06 is: 590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.08 : 793.36 = 428.06 : x
  2. Step 2: Convert to fraction form
    575.08/793.36 = 428.06/x
  3. Step 3: Cross multiply
    575.08x = 793.36 × 428.06
  4. Step 4: Simplify right side
    575.08x = 339,605.68
  5. Step 5: Solve for x
    x = 339,605.68/575.08
  6. Step 6: Final answer
    x = 590.54

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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.