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Finding the Fourth Proportional to 993.12, 1,490.48 and 445.35

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Solution

The fourth proportional to 993.12, 1,490.48 and 445.35 is: 668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.12 : 1,490.48 = 445.35 : x
  2. Step 2: Convert to fraction form
    993.12/1,490.48 = 445.35/x
  3. Step 3: Cross multiply
    993.12x = 1,490.48 × 445.35
  4. Step 4: Simplify right side
    993.12x = 663,785.27
  5. Step 5: Solve for x
    x = 663,785.27/993.12
  6. Step 6: Final answer
    x = 668.38

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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.