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Finding the Fourth Proportional to 1,867.26, 2,800.98 and 568.74

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Solution

The fourth proportional to 1,867.26, 2,800.98 and 568.74 is: 853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.26 : 2,800.98 = 568.74 : x
  2. Step 2: Convert to fraction form
    1,867.26/2,800.98 = 568.74/x
  3. Step 3: Cross multiply
    1,867.26x = 2,800.98 × 568.74
  4. Step 4: Simplify right side
    1,867.26x = 1,593,029.37
  5. Step 5: Solve for x
    x = 1,593,029.37/1,867.26
  6. Step 6: Final answer
    x = 853.14

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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.