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Finding the Fourth Proportional to 492.51, 679.56 and 374.46

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Solution

The fourth proportional to 492.51, 679.56 and 374.46 is: 516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.51 : 679.56 = 374.46 : x
  2. Step 2: Convert to fraction form
    492.51/679.56 = 374.46/x
  3. Step 3: Cross multiply
    492.51x = 679.56 × 374.46
  4. Step 4: Simplify right side
    492.51x = 254,468.04
  5. Step 5: Solve for x
    x = 254,468.04/492.51
  6. Step 6: Final answer
    x = 516.68

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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.