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Finding the Fourth Proportional to 1,207.70, 1,808.76 and 1,187.63

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Solution

The fourth proportional to 1,207.70, 1,808.76 and 1,187.63 is: 1,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.70 : 1,808.76 = 1,187.63 : x
  2. Step 2: Convert to fraction form
    1,207.70/1,808.76 = 1,187.63/x
  3. Step 3: Cross multiply
    1,207.70x = 1,808.76 × 1,187.63
  4. Step 4: Simplify right side
    1,207.70x = 2,148,137.64
  5. Step 5: Solve for x
    x = 2,148,137.64/1,207.70
  6. Step 6: Final answer
    x = 1,778.70

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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.