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Finding the Fourth Proportional to 1,867.32, 2,801.43 and 568.71

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Solution

The fourth proportional to 1,867.32, 2,801.43 and 568.71 is: 853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.32 : 2,801.43 = 568.71 : x
  2. Step 2: Convert to fraction form
    1,867.32/2,801.43 = 568.71/x
  3. Step 3: Cross multiply
    1,867.32x = 2,801.43 × 568.71
  4. Step 4: Simplify right side
    1,867.32x = 1,593,201.26
  5. Step 5: Solve for x
    x = 1,593,201.26/1,867.32
  6. Step 6: Final answer
    x = 853.20

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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.