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Finding the Fourth Proportional to 1,809.20, 2,713.08 and 654.68

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Solution

The fourth proportional to 1,809.20, 2,713.08 and 654.68 is: 981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.20 : 2,713.08 = 654.68 : x
  2. Step 2: Convert to fraction form
    1,809.20/2,713.08 = 654.68/x
  3. Step 3: Cross multiply
    1,809.20x = 2,713.08 × 654.68
  4. Step 4: Simplify right side
    1,809.20x = 1,776,199.21
  5. Step 5: Solve for x
    x = 1,776,199.21/1,809.20
  6. Step 6: Final answer
    x = 981.76

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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.