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Finding the Fourth Proportional to 993.82, 1,490.76 and 445.66

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Solution

The fourth proportional to 993.82, 1,490.76 and 445.66 is: 668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.82 : 1,490.76 = 445.66 : x
  2. Step 2: Convert to fraction form
    993.82/1,490.76 = 445.66/x
  3. Step 3: Cross multiply
    993.82x = 1,490.76 × 445.66
  4. Step 4: Simplify right side
    993.82x = 664,372.10
  5. Step 5: Solve for x
    x = 664,372.10/993.82
  6. Step 6: Final answer
    x = 668.50

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Double scale
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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.