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Finding the Fourth Proportional to 993.85, 1,371.46 and 661.95

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Solution

The fourth proportional to 993.85, 1,371.46 and 661.95 is: 913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.85 : 1,371.46 = 661.95 : x
  2. Step 2: Convert to fraction form
    993.85/1,371.46 = 661.95/x
  3. Step 3: Cross multiply
    993.85x = 1,371.46 × 661.95
  4. Step 4: Simplify right side
    993.85x = 907,837.95
  5. Step 5: Solve for x
    x = 907,837.95/993.85
  6. Step 6: Final answer
    x = 913.46

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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.