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Finding the Fourth Proportional to 1,866.67, 2,799.54 and 568.12

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Solution

The fourth proportional to 1,866.67, 2,799.54 and 568.12 is: 852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.67 : 2,799.54 = 568.12 : x
  2. Step 2: Convert to fraction form
    1,866.67/2,799.54 = 568.12/x
  3. Step 3: Cross multiply
    1,866.67x = 2,799.54 × 568.12
  4. Step 4: Simplify right side
    1,866.67x = 1,590,474.66
  5. Step 5: Solve for x
    x = 1,590,474.66/1,866.67
  6. Step 6: Final answer
    x = 852.04

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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.