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Finding the Fourth Proportional to 753.10, 1,129.97 and 406.03

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Solution

The fourth proportional to 753.10, 1,129.97 and 406.03 is: 609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.10 : 1,129.97 = 406.03 : x
  2. Step 2: Convert to fraction form
    753.10/1,129.97 = 406.03/x
  3. Step 3: Cross multiply
    753.10x = 1,129.97 × 406.03
  4. Step 4: Simplify right side
    753.10x = 458,794.04
  5. Step 5: Solve for x
    x = 458,794.04/753.10
  6. Step 6: Final answer
    x = 609.21

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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.