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Finding the Fourth Proportional to 766.92, 1,055.67 and 668.50

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Solution

The fourth proportional to 766.92, 1,055.67 and 668.50 is: 920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.92 : 1,055.67 = 668.50 : x
  2. Step 2: Convert to fraction form
    766.92/1,055.67 = 668.50/x
  3. Step 3: Cross multiply
    766.92x = 1,055.67 × 668.50
  4. Step 4: Simplify right side
    766.92x = 705,715.40
  5. Step 5: Solve for x
    x = 705,715.40/766.92
  6. Step 6: Final answer
    x = 920.19

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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.