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Finding the Fourth Proportional to 975.43, 1,461.62 and 609.11

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Solution

The fourth proportional to 975.43, 1,461.62 and 609.11 is: 912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.43 : 1,461.62 = 609.11 : x
  2. Step 2: Convert to fraction form
    975.43/1,461.62 = 609.11/x
  3. Step 3: Cross multiply
    975.43x = 1,461.62 × 609.11
  4. Step 4: Simplify right side
    975.43x = 890,287.36
  5. Step 5: Solve for x
    x = 890,287.36/975.43
  6. Step 6: Final answer
    x = 912.71

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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.