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Finding the Fourth Proportional to 945.68, 1,416.09 and 809.60

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Solution

The fourth proportional to 945.68, 1,416.09 and 809.60 is: 1,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.68 : 1,416.09 = 809.60 : x
  2. Step 2: Convert to fraction form
    945.68/1,416.09 = 809.60/x
  3. Step 3: Cross multiply
    945.68x = 1,416.09 × 809.60
  4. Step 4: Simplify right side
    945.68x = 1,146,466.46
  5. Step 5: Solve for x
    x = 1,146,466.46/945.68
  6. Step 6: Final answer
    x = 1,212.32

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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.