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Finding the Fourth Proportional to 499.79, 746.33 and 496.76

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Solution

The fourth proportional to 499.79, 746.33 and 496.76 is: 741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.79 : 746.33 = 496.76 : x
  2. Step 2: Convert to fraction form
    499.79/746.33 = 496.76/x
  3. Step 3: Cross multiply
    499.79x = 746.33 × 496.76
  4. Step 4: Simplify right side
    499.79x = 370,740.68
  5. Step 5: Solve for x
    x = 370,740.68/499.79
  6. Step 6: Final answer
    x = 741.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.