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Finding the Fourth Proportional to 750.23, 1,034.61 and 451.43

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Solution

The fourth proportional to 750.23, 1,034.61 and 451.43 is: 622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.23 : 1,034.61 = 451.43 : x
  2. Step 2: Convert to fraction form
    750.23/1,034.61 = 451.43/x
  3. Step 3: Cross multiply
    750.23x = 1,034.61 × 451.43
  4. Step 4: Simplify right side
    750.23x = 467,051.01
  5. Step 5: Solve for x
    x = 467,051.01/750.23
  6. Step 6: Final answer
    x = 622.54

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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.