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Finding the Fourth Proportional to 911.99, 1,258.46 and 538.94

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Solution

The fourth proportional to 911.99, 1,258.46 and 538.94 is: 743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.99 : 1,258.46 = 538.94 : x
  2. Step 2: Convert to fraction form
    911.99/1,258.46 = 538.94/x
  3. Step 3: Cross multiply
    911.99x = 1,258.46 × 538.94
  4. Step 4: Simplify right side
    911.99x = 678,225.45
  5. Step 5: Solve for x
    x = 678,225.45/911.99
  6. Step 6: Final answer
    x = 743.68

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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.