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Finding the Fourth Proportional to 428.47, 588.73 and 340.99

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Solution

The fourth proportional to 428.47, 588.73 and 340.99 is: 468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.47 : 588.73 = 340.99 : x
  2. Step 2: Convert to fraction form
    428.47/588.73 = 340.99/x
  3. Step 3: Cross multiply
    428.47x = 588.73 × 340.99
  4. Step 4: Simplify right side
    428.47x = 200,751.04
  5. Step 5: Solve for x
    x = 200,751.04/428.47
  6. Step 6: Final answer
    x = 468.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.