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Finding the Fourth Proportional to 1,731.40, 2,597.01 and 806.62

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Solution

The fourth proportional to 1,731.40, 2,597.01 and 806.62 is: 1,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.40 : 2,597.01 = 806.62 : x
  2. Step 2: Convert to fraction form
    1,731.40/2,597.01 = 806.62/x
  3. Step 3: Cross multiply
    1,731.40x = 2,597.01 × 806.62
  4. Step 4: Simplify right side
    1,731.40x = 2,094,800.21
  5. Step 5: Solve for x
    x = 2,094,800.21/1,731.40
  6. Step 6: Final answer
    x = 1,209.89

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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.