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Finding the Fourth Proportional to 734.28, 1,100.20 and 517.40

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Solution

The fourth proportional to 734.28, 1,100.20 and 517.40 is: 775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.28 : 1,100.20 = 517.40 : x
  2. Step 2: Convert to fraction form
    734.28/1,100.20 = 517.40/x
  3. Step 3: Cross multiply
    734.28x = 1,100.20 × 517.40
  4. Step 4: Simplify right side
    734.28x = 569,243.48
  5. Step 5: Solve for x
    x = 569,243.48/734.28
  6. Step 6: Final answer
    x = 775.24

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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.