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Finding the Fourth Proportional to 575.46, 793.76 and 354.20

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Solution

The fourth proportional to 575.46, 793.76 and 354.20 is: 488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.46 : 793.76 = 354.20 : x
  2. Step 2: Convert to fraction form
    575.46/793.76 = 354.20/x
  3. Step 3: Cross multiply
    575.46x = 793.76 × 354.20
  4. Step 4: Simplify right side
    575.46x = 281,144.05
  5. Step 5: Solve for x
    x = 281,144.05/575.46
  6. Step 6: Final answer
    x = 488.56

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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.