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Finding the Fourth Proportional to 428.84, 592.56 and 335.84

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Solution

The fourth proportional to 428.84, 592.56 and 335.84 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.84 : 592.56 = 335.84 : x
  2. Step 2: Convert to fraction form
    428.84/592.56 = 335.84/x
  3. Step 3: Cross multiply
    428.84x = 592.56 × 335.84
  4. Step 4: Simplify right side
    428.84x = 199,005.35
  5. Step 5: Solve for x
    x = 199,005.35/428.84
  6. Step 6: Final answer
    x = 464.06

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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.