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Finding the Fourth Proportional to 1,202.54, 1,800.78 and 762.45

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Solution

The fourth proportional to 1,202.54, 1,800.78 and 762.45 is: 1,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.54 : 1,800.78 = 762.45 : x
  2. Step 2: Convert to fraction form
    1,202.54/1,800.78 = 762.45/x
  3. Step 3: Cross multiply
    1,202.54x = 1,800.78 × 762.45
  4. Step 4: Simplify right side
    1,202.54x = 1,373,004.71
  5. Step 5: Solve for x
    x = 1,373,004.71/1,202.54
  6. Step 6: Final answer
    x = 1,141.76

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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.