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Finding the Fourth Proportional to 498.56, 687.56 and 392.26

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Solution

The fourth proportional to 498.56, 687.56 and 392.26 is: 540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.56 : 687.56 = 392.26 : x
  2. Step 2: Convert to fraction form
    498.56/687.56 = 392.26/x
  3. Step 3: Cross multiply
    498.56x = 687.56 × 392.26
  4. Step 4: Simplify right side
    498.56x = 269,699.89
  5. Step 5: Solve for x
    x = 269,699.89/498.56
  6. Step 6: Final answer
    x = 540.96

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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.