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Finding the Fourth Proportional to 497.58, 685.26 and 496.11

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Solution

The fourth proportional to 497.58, 685.26 and 496.11 is: 683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 685.26 = 496.11 : x
  2. Step 2: Convert to fraction form
    497.58/685.26 = 496.11/x
  3. Step 3: Cross multiply
    497.58x = 685.26 × 496.11
  4. Step 4: Simplify right side
    497.58x = 339,964.34
  5. Step 5: Solve for x
    x = 339,964.34/497.58
  6. Step 6: Final answer
    x = 683.24

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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.