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Finding the Fourth Proportional to 753.05, 1,039.20 and 412.37

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Solution

The fourth proportional to 753.05, 1,039.20 and 412.37 is: 569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.05 : 1,039.20 = 412.37 : x
  2. Step 2: Convert to fraction form
    753.05/1,039.20 = 412.37/x
  3. Step 3: Cross multiply
    753.05x = 1,039.20 × 412.37
  4. Step 4: Simplify right side
    753.05x = 428,527.65
  5. Step 5: Solve for x
    x = 428,527.65/753.05
  6. Step 6: Final answer
    x = 569.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.