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Finding the Fourth Proportional to 499.17, 744.11 and 471.81

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Solution

The fourth proportional to 499.17, 744.11 and 471.81 is: 703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.17 : 744.11 = 471.81 : x
  2. Step 2: Convert to fraction form
    499.17/744.11 = 471.81/x
  3. Step 3: Cross multiply
    499.17x = 744.11 × 471.81
  4. Step 4: Simplify right side
    499.17x = 351,079.72
  5. Step 5: Solve for x
    x = 351,079.72/499.17
  6. Step 6: Final answer
    x = 703.33

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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.