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Finding the Fourth Proportional to 1,171.26, 1,614.74 and 905.78

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Solution

The fourth proportional to 1,171.26, 1,614.74 and 905.78 is: 1,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.26 : 1,614.74 = 905.78 : x
  2. Step 2: Convert to fraction form
    1,171.26/1,614.74 = 905.78/x
  3. Step 3: Cross multiply
    1,171.26x = 1,614.74 × 905.78
  4. Step 4: Simplify right side
    1,171.26x = 1,462,598.71
  5. Step 5: Solve for x
    x = 1,462,598.71/1,171.26
  6. Step 6: Final answer
    x = 1,248.74

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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.