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Finding the Fourth Proportional to 722.88, 1,084.64 and 668.80

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Solution

The fourth proportional to 722.88, 1,084.64 and 668.80 is: 1,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.88 : 1,084.64 = 668.80 : x
  2. Step 2: Convert to fraction form
    722.88/1,084.64 = 668.80/x
  3. Step 3: Cross multiply
    722.88x = 1,084.64 × 668.80
  4. Step 4: Simplify right side
    722.88x = 725,407.23
  5. Step 5: Solve for x
    x = 725,407.23/722.88
  6. Step 6: Final answer
    x = 1,003.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.