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Finding the Fourth Proportional to 938.07, 1,405.73 and 664.01

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Solution

The fourth proportional to 938.07, 1,405.73 and 664.01 is: 995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.07 : 1,405.73 = 664.01 : x
  2. Step 2: Convert to fraction form
    938.07/1,405.73 = 664.01/x
  3. Step 3: Cross multiply
    938.07x = 1,405.73 × 664.01
  4. Step 4: Simplify right side
    938.07x = 933,418.78
  5. Step 5: Solve for x
    x = 933,418.78/938.07
  6. Step 6: Final answer
    x = 995.04

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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.