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Finding the Fourth Proportional to 1,076.43, 1,489.50 and 918.81

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Solution

The fourth proportional to 1,076.43, 1,489.50 and 918.81 is: 1,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.43 : 1,489.50 = 918.81 : x
  2. Step 2: Convert to fraction form
    1,076.43/1,489.50 = 918.81/x
  3. Step 3: Cross multiply
    1,076.43x = 1,489.50 × 918.81
  4. Step 4: Simplify right side
    1,076.43x = 1,368,567.50
  5. Step 5: Solve for x
    x = 1,368,567.50/1,076.43
  6. Step 6: Final answer
    x = 1,271.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.