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Finding the Fourth Proportional to 1,205.75, 1,808.07 and 556.13

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Solution

The fourth proportional to 1,205.75, 1,808.07 and 556.13 is: 833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.75 : 1,808.07 = 556.13 : x
  2. Step 2: Convert to fraction form
    1,205.75/1,808.07 = 556.13/x
  3. Step 3: Cross multiply
    1,205.75x = 1,808.07 × 556.13
  4. Step 4: Simplify right side
    1,205.75x = 1,005,521.97
  5. Step 5: Solve for x
    x = 1,005,521.97/1,205.75
  6. Step 6: Final answer
    x = 833.94

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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.