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Finding the Fourth Proportional to 1,243.65, 1,862.24 and 663.69

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Solution

The fourth proportional to 1,243.65, 1,862.24 and 663.69 is: 993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.65 : 1,862.24 = 663.69 : x
  2. Step 2: Convert to fraction form
    1,243.65/1,862.24 = 663.69/x
  3. Step 3: Cross multiply
    1,243.65x = 1,862.24 × 663.69
  4. Step 4: Simplify right side
    1,243.65x = 1,235,946.75
  5. Step 5: Solve for x
    x = 1,235,946.75/1,243.65
  6. Step 6: Final answer
    x = 993.81

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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.