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Finding the Fourth Proportional to 911.43, 1,257.65 and 518.46

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Solution

The fourth proportional to 911.43, 1,257.65 and 518.46 is: 715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.43 : 1,257.65 = 518.46 : x
  2. Step 2: Convert to fraction form
    911.43/1,257.65 = 518.46/x
  3. Step 3: Cross multiply
    911.43x = 1,257.65 × 518.46
  4. Step 4: Simplify right side
    911.43x = 652,036.23
  5. Step 5: Solve for x
    x = 652,036.23/911.43
  6. Step 6: Final answer
    x = 715.40

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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.