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Finding the Fourth Proportional to 1,206.78, 1,808.73 and 556.13

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Solution

The fourth proportional to 1,206.78, 1,808.73 and 556.13 is: 833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.78 : 1,808.73 = 556.13 : x
  2. Step 2: Convert to fraction form
    1,206.78/1,808.73 = 556.13/x
  3. Step 3: Cross multiply
    1,206.78x = 1,808.73 × 556.13
  4. Step 4: Simplify right side
    1,206.78x = 1,005,879.97
  5. Step 5: Solve for x
    x = 1,005,879.97/1,206.78
  6. Step 6: Final answer
    x = 833.52

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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.