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Finding the Fourth Proportional to 1,233.59, 1,845.99 and 988.37

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Solution

The fourth proportional to 1,233.59, 1,845.99 and 988.37 is: 1,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.59 : 1,845.99 = 988.37 : x
  2. Step 2: Convert to fraction form
    1,233.59/1,845.99 = 988.37/x
  3. Step 3: Cross multiply
    1,233.59x = 1,845.99 × 988.37
  4. Step 4: Simplify right side
    1,233.59x = 1,824,524.02
  5. Step 5: Solve for x
    x = 1,824,524.02/1,233.59
  6. Step 6: Final answer
    x = 1,479.03

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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.