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Finding the Fourth Proportional to 1,435.87, 2,152.33 and 818.31

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Solution

The fourth proportional to 1,435.87, 2,152.33 and 818.31 is: 1,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.87 : 2,152.33 = 818.31 : x
  2. Step 2: Convert to fraction form
    1,435.87/2,152.33 = 818.31/x
  3. Step 3: Cross multiply
    1,435.87x = 2,152.33 × 818.31
  4. Step 4: Simplify right side
    1,435.87x = 1,761,273.16
  5. Step 5: Solve for x
    x = 1,761,273.16/1,435.87
  6. Step 6: Final answer
    x = 1,226.62

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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.