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Finding the Fourth Proportional to 498.31, 687.75 and 415.29

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Solution

The fourth proportional to 498.31, 687.75 and 415.29 is: 573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.31 : 687.75 = 415.29 : x
  2. Step 2: Convert to fraction form
    498.31/687.75 = 415.29/x
  3. Step 3: Cross multiply
    498.31x = 687.75 × 415.29
  4. Step 4: Simplify right side
    498.31x = 285,615.70
  5. Step 5: Solve for x
    x = 285,615.70/498.31
  6. Step 6: Final answer
    x = 573.17

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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.