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Finding the Fourth Proportional to 938.22, 1,400.03 and 930.02

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Solution

The fourth proportional to 938.22, 1,400.03 and 930.02 is: 1,387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.22 : 1,400.03 = 930.02 : x
  2. Step 2: Convert to fraction form
    938.22/1,400.03 = 930.02/x
  3. Step 3: Cross multiply
    938.22x = 1,400.03 × 930.02
  4. Step 4: Simplify right side
    938.22x = 1,302,055.90
  5. Step 5: Solve for x
    x = 1,302,055.90/938.22
  6. Step 6: Final answer
    x = 1,387.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.