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Finding the Fourth Proportional to 750.48, 1,034.37 and 618.09

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Solution

The fourth proportional to 750.48, 1,034.37 and 618.09 is: 851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.48 : 1,034.37 = 618.09 : x
  2. Step 2: Convert to fraction form
    750.48/1,034.37 = 618.09/x
  3. Step 3: Cross multiply
    750.48x = 1,034.37 × 618.09
  4. Step 4: Simplify right side
    750.48x = 639,333.75
  5. Step 5: Solve for x
    x = 639,333.75/750.48
  6. Step 6: Final answer
    x = 851.90

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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.