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Finding the Fourth Proportional to 763.73, 1,145.75 and 243.64

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Solution

The fourth proportional to 763.73, 1,145.75 and 243.64 is: 365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.73 : 1,145.75 = 243.64 : x
  2. Step 2: Convert to fraction form
    763.73/1,145.75 = 243.64/x
  3. Step 3: Cross multiply
    763.73x = 1,145.75 × 243.64
  4. Step 4: Simplify right side
    763.73x = 279,150.74
  5. Step 5: Solve for x
    x = 279,150.74/763.73
  6. Step 6: Final answer
    x = 365.51

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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.