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Finding the Fourth Proportional to 1,435.71, 2,154.41 and 820.29

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Solution

The fourth proportional to 1,435.71, 2,154.41 and 820.29 is: 1,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.71 : 2,154.41 = 820.29 : x
  2. Step 2: Convert to fraction form
    1,435.71/2,154.41 = 820.29/x
  3. Step 3: Cross multiply
    1,435.71x = 2,154.41 × 820.29
  4. Step 4: Simplify right side
    1,435.71x = 1,767,236.88
  5. Step 5: Solve for x
    x = 1,767,236.88/1,435.71
  6. Step 6: Final answer
    x = 1,230.91

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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.