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Finding the Fourth Proportional to 911.86, 1,257.93 and 538.59

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Solution

The fourth proportional to 911.86, 1,257.93 and 538.59 is: 742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.86 : 1,257.93 = 538.59 : x
  2. Step 2: Convert to fraction form
    911.86/1,257.93 = 538.59/x
  3. Step 3: Cross multiply
    911.86x = 1,257.93 × 538.59
  4. Step 4: Simplify right side
    911.86x = 677,502.23
  5. Step 5: Solve for x
    x = 677,502.23/911.86
  6. Step 6: Final answer
    x = 742.99

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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.