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Finding the Fourth Proportional to 730.80, 1,006.50 and 666

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Solution

The fourth proportional to 730.80, 1,006.50 and 666 is: 917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.80 : 1,006.50 = 666 : x
  2. Step 2: Convert to fraction form
    730.80/1,006.50 = 666/x
  3. Step 3: Cross multiply
    730.80x = 1,006.50 × 666
  4. Step 4: Simplify right side
    730.80x = 670,329
  5. Step 5: Solve for x
    x = 670,329/730.80
  6. Step 6: Final answer
    x = 917.25

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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.