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Finding the Fourth Proportional to 588.88, 883.34 and 345.28

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Solution

The fourth proportional to 588.88, 883.34 and 345.28 is: 517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.88 : 883.34 = 345.28 : x
  2. Step 2: Convert to fraction form
    588.88/883.34 = 345.28/x
  3. Step 3: Cross multiply
    588.88x = 883.34 × 345.28
  4. Step 4: Simplify right side
    588.88x = 304,999.64
  5. Step 5: Solve for x
    x = 304,999.64/588.88
  6. Step 6: Final answer
    x = 517.93

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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.