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Finding the Fourth Proportional to 1,207.74, 1,809.99 and 659.10

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Solution

The fourth proportional to 1,207.74, 1,809.99 and 659.10 is: 987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.74 : 1,809.99 = 659.10 : x
  2. Step 2: Convert to fraction form
    1,207.74/1,809.99 = 659.10/x
  3. Step 3: Cross multiply
    1,207.74x = 1,809.99 × 659.10
  4. Step 4: Simplify right side
    1,207.74x = 1,192,964.41
  5. Step 5: Solve for x
    x = 1,192,964.41/1,207.74
  6. Step 6: Final answer
    x = 987.77

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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.