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Finding the Fourth Proportional to 1,222.48, 1,829.39 and 760.48

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Solution

The fourth proportional to 1,222.48, 1,829.39 and 760.48 is: 1,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.48 : 1,829.39 = 760.48 : x
  2. Step 2: Convert to fraction form
    1,222.48/1,829.39 = 760.48/x
  3. Step 3: Cross multiply
    1,222.48x = 1,829.39 × 760.48
  4. Step 4: Simplify right side
    1,222.48x = 1,391,206.13
  5. Step 5: Solve for x
    x = 1,391,206.13/1,222.48
  6. Step 6: Final answer
    x = 1,138.02

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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.