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Finding the Fourth Proportional to 883.74, 1,324.96 and 609.05

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Solution

The fourth proportional to 883.74, 1,324.96 and 609.05 is: 913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.74 : 1,324.96 = 609.05 : x
  2. Step 2: Convert to fraction form
    883.74/1,324.96 = 609.05/x
  3. Step 3: Cross multiply
    883.74x = 1,324.96 × 609.05
  4. Step 4: Simplify right side
    883.74x = 806,968.68
  5. Step 5: Solve for x
    x = 806,968.68/883.74
  6. Step 6: Final answer
    x = 913.13

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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.