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Finding the Fourth Proportional to 701.63, 968.46 and 666.80

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Solution

The fourth proportional to 701.63, 968.46 and 666.80 is: 920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.63 : 968.46 = 666.80 : x
  2. Step 2: Convert to fraction form
    701.63/968.46 = 666.80/x
  3. Step 3: Cross multiply
    701.63x = 968.46 × 666.80
  4. Step 4: Simplify right side
    701.63x = 645,769.13
  5. Step 5: Solve for x
    x = 645,769.13/701.63
  6. Step 6: Final answer
    x = 920.38

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1.5x scale

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.