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Finding the Fourth Proportional to 1,866.12, 2,799.72 and 567.60

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Solution

The fourth proportional to 1,866.12, 2,799.72 and 567.60 is: 851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.12 : 2,799.72 = 567.60 : x
  2. Step 2: Convert to fraction form
    1,866.12/2,799.72 = 567.60/x
  3. Step 3: Cross multiply
    1,866.12x = 2,799.72 × 567.60
  4. Step 4: Simplify right side
    1,866.12x = 1,589,121.07
  5. Step 5: Solve for x
    x = 1,589,121.07/1,866.12
  6. Step 6: Final answer
    x = 851.56

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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.