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Finding the Fourth Proportional to 917.09, 1,265.60 and 518.67

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Solution

The fourth proportional to 917.09, 1,265.60 and 518.67 is: 715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.09 : 1,265.60 = 518.67 : x
  2. Step 2: Convert to fraction form
    917.09/1,265.60 = 518.67/x
  3. Step 3: Cross multiply
    917.09x = 1,265.60 × 518.67
  4. Step 4: Simplify right side
    917.09x = 656,428.75
  5. Step 5: Solve for x
    x = 656,428.75/917.09
  6. Step 6: Final answer
    x = 715.77

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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.