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Finding the Fourth Proportional to 1,693.88, 2,541.23 and 539.63

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Solution

The fourth proportional to 1,693.88, 2,541.23 and 539.63 is: 809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.88 : 2,541.23 = 539.63 : x
  2. Step 2: Convert to fraction form
    1,693.88/2,541.23 = 539.63/x
  3. Step 3: Cross multiply
    1,693.88x = 2,541.23 × 539.63
  4. Step 4: Simplify right side
    1,693.88x = 1,371,308.54
  5. Step 5: Solve for x
    x = 1,371,308.54/1,693.88
  6. Step 6: Final answer
    x = 809.57

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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.