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Finding the Fourth Proportional to 763.28, 1,142.40 and 415.80

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Solution

The fourth proportional to 763.28, 1,142.40 and 415.80 is: 622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.28 : 1,142.40 = 415.80 : x
  2. Step 2: Convert to fraction form
    763.28/1,142.40 = 415.80/x
  3. Step 3: Cross multiply
    763.28x = 1,142.40 × 415.80
  4. Step 4: Simplify right side
    763.28x = 475,009.92
  5. Step 5: Solve for x
    x = 475,009.92/763.28
  6. Step 6: Final answer
    x = 622.33

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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.