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Finding the Fourth Proportional to 993.67, 1,370.32 and 661.52

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Solution

The fourth proportional to 993.67, 1,370.32 and 661.52 is: 912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.67 : 1,370.32 = 661.52 : x
  2. Step 2: Convert to fraction form
    993.67/1,370.32 = 661.52/x
  3. Step 3: Cross multiply
    993.67x = 1,370.32 × 661.52
  4. Step 4: Simplify right side
    993.67x = 906,494.09
  5. Step 5: Solve for x
    x = 906,494.09/993.67
  6. Step 6: Final answer
    x = 912.27

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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.