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Finding the Fourth Proportional to 499.90, 746.57 and 418.81

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Solution

The fourth proportional to 499.90, 746.57 and 418.81 is: 625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.90 : 746.57 = 418.81 : x
  2. Step 2: Convert to fraction form
    499.90/746.57 = 418.81/x
  3. Step 3: Cross multiply
    499.90x = 746.57 × 418.81
  4. Step 4: Simplify right side
    499.90x = 312,670.98
  5. Step 5: Solve for x
    x = 312,670.98/499.90
  6. Step 6: Final answer
    x = 625.47

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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.