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Finding the Fourth Proportional to 1,146.87, 1,720.54 and 366.91

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Solution

The fourth proportional to 1,146.87, 1,720.54 and 366.91 is: 550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.87 : 1,720.54 = 366.91 : x
  2. Step 2: Convert to fraction form
    1,146.87/1,720.54 = 366.91/x
  3. Step 3: Cross multiply
    1,146.87x = 1,720.54 × 366.91
  4. Step 4: Simplify right side
    1,146.87x = 631,283.33
  5. Step 5: Solve for x
    x = 631,283.33/1,146.87
  6. Step 6: Final answer
    x = 550.44

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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.