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Finding the Fourth Proportional to 458.73, 688.50 and 343.80

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Solution

The fourth proportional to 458.73, 688.50 and 343.80 is: 516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.73 : 688.50 = 343.80 : x
  2. Step 2: Convert to fraction form
    458.73/688.50 = 343.80/x
  3. Step 3: Cross multiply
    458.73x = 688.50 × 343.80
  4. Step 4: Simplify right side
    458.73x = 236,706.30
  5. Step 5: Solve for x
    x = 236,706.30/458.73
  6. Step 6: Final answer
    x = 516.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.