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Finding the Fourth Proportional to 1,230.55, 1,846.00 and 499.97

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Solution

The fourth proportional to 1,230.55, 1,846.00 and 499.97 is: 750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.55 : 1,846.00 = 499.97 : x
  2. Step 2: Convert to fraction form
    1,230.55/1,846.00 = 499.97/x
  3. Step 3: Cross multiply
    1,230.55x = 1,846.00 × 499.97
  4. Step 4: Simplify right side
    1,230.55x = 922,949.86
  5. Step 5: Solve for x
    x = 922,949.86/1,230.55
  6. Step 6: Final answer
    x = 750.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.