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Finding the Fourth Proportional to 1,232.76, 1,849.69 and 655.50

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Solution

The fourth proportional to 1,232.76, 1,849.69 and 655.50 is: 983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.76 : 1,849.69 = 655.50 : x
  2. Step 2: Convert to fraction form
    1,232.76/1,849.69 = 655.50/x
  3. Step 3: Cross multiply
    1,232.76x = 1,849.69 × 655.50
  4. Step 4: Simplify right side
    1,232.76x = 1,212,471.80
  5. Step 5: Solve for x
    x = 1,212,471.80/1,232.76
  6. Step 6: Final answer
    x = 983.54

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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.