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Finding the Fourth Proportional to 1,493.86, 2,239.36 and 615.82

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Solution

The fourth proportional to 1,493.86, 2,239.36 and 615.82 is: 923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.86 : 2,239.36 = 615.82 : x
  2. Step 2: Convert to fraction form
    1,493.86/2,239.36 = 615.82/x
  3. Step 3: Cross multiply
    1,493.86x = 2,239.36 × 615.82
  4. Step 4: Simplify right side
    1,493.86x = 1,379,042.68
  5. Step 5: Solve for x
    x = 1,379,042.68/1,493.86
  6. Step 6: Final answer
    x = 923.14

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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.