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Finding the Fourth Proportional to 1,233.77, 1,850.65 and 648.91

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Solution

The fourth proportional to 1,233.77, 1,850.65 and 648.91 is: 973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.77 : 1,850.65 = 648.91 : x
  2. Step 2: Convert to fraction form
    1,233.77/1,850.65 = 648.91/x
  3. Step 3: Cross multiply
    1,233.77x = 1,850.65 × 648.91
  4. Step 4: Simplify right side
    1,233.77x = 1,200,902.05
  5. Step 5: Solve for x
    x = 1,200,902.05/1,233.77
  6. Step 6: Final answer
    x = 973.36

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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.