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Finding the Fourth Proportional to 2,298.81, 3,447.21 and 654.99

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Solution

The fourth proportional to 2,298.81, 3,447.21 and 654.99 is: 982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.81 : 3,447.21 = 654.99 : x
  2. Step 2: Convert to fraction form
    2,298.81/3,447.21 = 654.99/x
  3. Step 3: Cross multiply
    2,298.81x = 3,447.21 × 654.99
  4. Step 4: Simplify right side
    2,298.81x = 2,257,873.92
  5. Step 5: Solve for x
    x = 2,257,873.92/2,298.81
  6. Step 6: Final answer
    x = 982.19

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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.