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Finding the Fourth Proportional to 753.03, 1,128.56 and 406.50

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Solution

The fourth proportional to 753.03, 1,128.56 and 406.50 is: 609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.03 : 1,128.56 = 406.50 : x
  2. Step 2: Convert to fraction form
    753.03/1,128.56 = 406.50/x
  3. Step 3: Cross multiply
    753.03x = 1,128.56 × 406.50
  4. Step 4: Simplify right side
    753.03x = 458,757.61
  5. Step 5: Solve for x
    x = 458,757.61/753.03
  6. Step 6: Final answer
    x = 609.22

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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.