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Finding the Fourth Proportional to 1,230.51, 1,846.53 and 500.09

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Solution

The fourth proportional to 1,230.51, 1,846.53 and 500.09 is: 750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.51 : 1,846.53 = 500.09 : x
  2. Step 2: Convert to fraction form
    1,230.51/1,846.53 = 500.09/x
  3. Step 3: Cross multiply
    1,230.51x = 1,846.53 × 500.09
  4. Step 4: Simplify right side
    1,230.51x = 923,421.96
  5. Step 5: Solve for x
    x = 923,421.96/1,230.51
  6. Step 6: Final answer
    x = 750.44

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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.