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Finding the Fourth Proportional to 680.10, 942.92 and 666.73

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Solution

The fourth proportional to 680.10, 942.92 and 666.73 is: 924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.10 : 942.92 = 666.73 : x
  2. Step 2: Convert to fraction form
    680.10/942.92 = 666.73/x
  3. Step 3: Cross multiply
    680.10x = 942.92 × 666.73
  4. Step 4: Simplify right side
    680.10x = 628,671.52
  5. Step 5: Solve for x
    x = 628,671.52/680.10
  6. Step 6: Final answer
    x = 924.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.