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Finding the Fourth Proportional to 1,409.38, 2,115.08 and 543.90

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Solution

The fourth proportional to 1,409.38, 2,115.08 and 543.90 is: 816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.38 : 2,115.08 = 543.90 : x
  2. Step 2: Convert to fraction form
    1,409.38/2,115.08 = 543.90/x
  3. Step 3: Cross multiply
    1,409.38x = 2,115.08 × 543.90
  4. Step 4: Simplify right side
    1,409.38x = 1,150,392.01
  5. Step 5: Solve for x
    x = 1,150,392.01/1,409.38
  6. Step 6: Final answer
    x = 816.24

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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.