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Finding the Fourth Proportional to 1,409.32, 2,113.78 and 543.63

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Solution

The fourth proportional to 1,409.32, 2,113.78 and 543.63 is: 815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.32 : 2,113.78 = 543.63 : x
  2. Step 2: Convert to fraction form
    1,409.32/2,113.78 = 543.63/x
  3. Step 3: Cross multiply
    1,409.32x = 2,113.78 × 543.63
  4. Step 4: Simplify right side
    1,409.32x = 1,149,114.22
  5. Step 5: Solve for x
    x = 1,149,114.22/1,409.32
  6. Step 6: Final answer
    x = 815.37

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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.