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Finding the Fourth Proportional to 1,243.67, 1,865.16 and 657.87

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Solution

The fourth proportional to 1,243.67, 1,865.16 and 657.87 is: 986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.67 : 1,865.16 = 657.87 : x
  2. Step 2: Convert to fraction form
    1,243.67/1,865.16 = 657.87/x
  3. Step 3: Cross multiply
    1,243.67x = 1,865.16 × 657.87
  4. Step 4: Simplify right side
    1,243.67x = 1,227,032.81
  5. Step 5: Solve for x
    x = 1,227,032.81/1,243.67
  6. Step 6: Final answer
    x = 986.63

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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.