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Finding the Fourth Proportional to 499.43, 753.14 and 492.59

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Solution

The fourth proportional to 499.43, 753.14 and 492.59 is: 742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.43 : 753.14 = 492.59 : x
  2. Step 2: Convert to fraction form
    499.43/753.14 = 492.59/x
  3. Step 3: Cross multiply
    499.43x = 753.14 × 492.59
  4. Step 4: Simplify right side
    499.43x = 370,989.23
  5. Step 5: Solve for x
    x = 370,989.23/499.43
  6. Step 6: Final answer
    x = 742.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.