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Finding the Fourth Proportional to 1,230.51, 1,846.07 and 364.80

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Solution

The fourth proportional to 1,230.51, 1,846.07 and 364.80 is: 547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.51 : 1,846.07 = 364.80 : x
  2. Step 2: Convert to fraction form
    1,230.51/1,846.07 = 364.80/x
  3. Step 3: Cross multiply
    1,230.51x = 1,846.07 × 364.80
  4. Step 4: Simplify right side
    1,230.51x = 673,438.02
  5. Step 5: Solve for x
    x = 673,438.02/1,230.51
  6. Step 6: Final answer
    x = 547.29

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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.