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Finding the Fourth Proportional to 575.09, 793.72 and 342.35

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Solution

The fourth proportional to 575.09, 793.72 and 342.35 is: 472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.09 : 793.72 = 342.35 : x
  2. Step 2: Convert to fraction form
    575.09/793.72 = 342.35/x
  3. Step 3: Cross multiply
    575.09x = 793.72 × 342.35
  4. Step 4: Simplify right side
    575.09x = 271,732.80
  5. Step 5: Solve for x
    x = 271,732.80/575.09
  6. Step 6: Final answer
    x = 472.50

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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.