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Finding the Fourth Proportional to 428.73, 591.46 and 288.93

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Solution

The fourth proportional to 428.73, 591.46 and 288.93 is: 398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.73 : 591.46 = 288.93 : x
  2. Step 2: Convert to fraction form
    428.73/591.46 = 288.93/x
  3. Step 3: Cross multiply
    428.73x = 591.46 × 288.93
  4. Step 4: Simplify right side
    428.73x = 170,892.03
  5. Step 5: Solve for x
    x = 170,892.03/428.73
  6. Step 6: Final answer
    x = 398.60

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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.