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Finding the Fourth Proportional to 575.32, 793.96 and 354.14

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Solution

The fourth proportional to 575.32, 793.96 and 354.14 is: 488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.32 : 793.96 = 354.14 : x
  2. Step 2: Convert to fraction form
    575.32/793.96 = 354.14/x
  3. Step 3: Cross multiply
    575.32x = 793.96 × 354.14
  4. Step 4: Simplify right side
    575.32x = 281,172.99
  5. Step 5: Solve for x
    x = 281,172.99/575.32
  6. Step 6: Final answer
    x = 488.72

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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.