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Finding the Fourth Proportional to 701.32, 966.79 and 490.85

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Solution

The fourth proportional to 701.32, 966.79 and 490.85 is: 676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.32 : 966.79 = 490.85 : x
  2. Step 2: Convert to fraction form
    701.32/966.79 = 490.85/x
  3. Step 3: Cross multiply
    701.32x = 966.79 × 490.85
  4. Step 4: Simplify right side
    701.32x = 474,542.81
  5. Step 5: Solve for x
    x = 474,542.81/701.32
  6. Step 6: Final answer
    x = 676.64

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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.