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Finding the Fourth Proportional to 1,187.44, 1,782.12 and 610.48

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Solution

The fourth proportional to 1,187.44, 1,782.12 and 610.48 is: 916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.44 : 1,782.12 = 610.48 : x
  2. Step 2: Convert to fraction form
    1,187.44/1,782.12 = 610.48/x
  3. Step 3: Cross multiply
    1,187.44x = 1,782.12 × 610.48
  4. Step 4: Simplify right side
    1,187.44x = 1,087,948.62
  5. Step 5: Solve for x
    x = 1,087,948.62/1,187.44
  6. Step 6: Final answer
    x = 916.21

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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.