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Finding the Fourth Proportional to 993.49, 1,371.24 and 661.93

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Solution

The fourth proportional to 993.49, 1,371.24 and 661.93 is: 913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.49 : 1,371.24 = 661.93 : x
  2. Step 2: Convert to fraction form
    993.49/1,371.24 = 661.93/x
  3. Step 3: Cross multiply
    993.49x = 1,371.24 × 661.93
  4. Step 4: Simplify right side
    993.49x = 907,664.89
  5. Step 5: Solve for x
    x = 907,664.89/993.49
  6. Step 6: Final answer
    x = 913.61

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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.