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Finding the Fourth Proportional to 946.73, 1,418.80 and 715.43

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Solution

The fourth proportional to 946.73, 1,418.80 and 715.43 is: 1,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.73 : 1,418.80 = 715.43 : x
  2. Step 2: Convert to fraction form
    946.73/1,418.80 = 715.43/x
  3. Step 3: Cross multiply
    946.73x = 1,418.80 × 715.43
  4. Step 4: Simplify right side
    946.73x = 1,015,052.08
  5. Step 5: Solve for x
    x = 1,015,052.08/946.73
  6. Step 6: Final answer
    x = 1,072.17

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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.