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Finding the Fourth Proportional to 911.58, 1,258.08 and 518.70

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Solution

The fourth proportional to 911.58, 1,258.08 and 518.70 is: 715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.58 : 1,258.08 = 518.70 : x
  2. Step 2: Convert to fraction form
    911.58/1,258.08 = 518.70/x
  3. Step 3: Cross multiply
    911.58x = 1,258.08 × 518.70
  4. Step 4: Simplify right side
    911.58x = 652,566.10
  5. Step 5: Solve for x
    x = 652,566.10/911.58
  6. Step 6: Final answer
    x = 715.86

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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.