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Finding the Fourth Proportional to 946.97, 1,420.14 and 825.47

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Solution

The fourth proportional to 946.97, 1,420.14 and 825.47 is: 1,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.97 : 1,420.14 = 825.47 : x
  2. Step 2: Convert to fraction form
    946.97/1,420.14 = 825.47/x
  3. Step 3: Cross multiply
    946.97x = 1,420.14 × 825.47
  4. Step 4: Simplify right side
    946.97x = 1,172,275.87
  5. Step 5: Solve for x
    x = 1,172,275.87/946.97
  6. Step 6: Final answer
    x = 1,237.93

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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.