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Finding the Fourth Proportional to 993.64, 1,487.79 and 645.97

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Solution

The fourth proportional to 993.64, 1,487.79 and 645.97 is: 967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.64 : 1,487.79 = 645.97 : x
  2. Step 2: Convert to fraction form
    993.64/1,487.79 = 645.97/x
  3. Step 3: Cross multiply
    993.64x = 1,487.79 × 645.97
  4. Step 4: Simplify right side
    993.64x = 961,067.71
  5. Step 5: Solve for x
    x = 961,067.71/993.64
  6. Step 6: Final answer
    x = 967.22

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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.