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Finding the Fourth Proportional to 830.97, 1,243.68 and 625.02

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Solution

The fourth proportional to 830.97, 1,243.68 and 625.02 is: 935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.97 : 1,243.68 = 625.02 : x
  2. Step 2: Convert to fraction form
    830.97/1,243.68 = 625.02/x
  3. Step 3: Cross multiply
    830.97x = 1,243.68 × 625.02
  4. Step 4: Simplify right side
    830.97x = 777,324.87
  5. Step 5: Solve for x
    x = 777,324.87/830.97
  6. Step 6: Final answer
    x = 935.44

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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.