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Finding the Fourth Proportional to 1,146.50, 1,720.09 and 813.59

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Solution

The fourth proportional to 1,146.50, 1,720.09 and 813.59 is: 1,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.50 : 1,720.09 = 813.59 : x
  2. Step 2: Convert to fraction form
    1,146.50/1,720.09 = 813.59/x
  3. Step 3: Cross multiply
    1,146.50x = 1,720.09 × 813.59
  4. Step 4: Simplify right side
    1,146.50x = 1,399,448.02
  5. Step 5: Solve for x
    x = 1,399,448.02/1,146.50
  6. Step 6: Final answer
    x = 1,220.63

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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.