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Finding the Fourth Proportional to 2,409.60, 3,614.34 and 654.60

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Solution

The fourth proportional to 2,409.60, 3,614.34 and 654.60 is: 981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.60 : 3,614.34 = 654.60 : x
  2. Step 2: Convert to fraction form
    2,409.60/3,614.34 = 654.60/x
  3. Step 3: Cross multiply
    2,409.60x = 3,614.34 × 654.60
  4. Step 4: Simplify right side
    2,409.60x = 2,365,946.96
  5. Step 5: Solve for x
    x = 2,365,946.96/2,409.60
  6. Step 6: Final answer
    x = 981.88

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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.