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Finding the Fourth Proportional to 1,866.93, 2,800.47 and 568.41

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Solution

The fourth proportional to 1,866.93, 2,800.47 and 568.41 is: 852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.93 : 2,800.47 = 568.41 : x
  2. Step 2: Convert to fraction form
    1,866.93/2,800.47 = 568.41/x
  3. Step 3: Cross multiply
    1,866.93x = 2,800.47 × 568.41
  4. Step 4: Simplify right side
    1,866.93x = 1,591,815.15
  5. Step 5: Solve for x
    x = 1,591,815.15/1,866.93
  6. Step 6: Final answer
    x = 852.64

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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.