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Finding the Fourth Proportional to 974.07, 1,459.31 and 609.03

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Solution

The fourth proportional to 974.07, 1,459.31 and 609.03 is: 912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.07 : 1,459.31 = 609.03 : x
  2. Step 2: Convert to fraction form
    974.07/1,459.31 = 609.03/x
  3. Step 3: Cross multiply
    974.07x = 1,459.31 × 609.03
  4. Step 4: Simplify right side
    974.07x = 888,760.52
  5. Step 5: Solve for x
    x = 888,760.52/974.07
  6. Step 6: Final answer
    x = 912.42

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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.