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Finding the Fourth Proportional to 946.66, 1,418.76 and 764.41

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Solution

The fourth proportional to 946.66, 1,418.76 and 764.41 is: 1,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.66 : 1,418.76 = 764.41 : x
  2. Step 2: Convert to fraction form
    946.66/1,418.76 = 764.41/x
  3. Step 3: Cross multiply
    946.66x = 1,418.76 × 764.41
  4. Step 4: Simplify right side
    946.66x = 1,084,507.24
  5. Step 5: Solve for x
    x = 1,084,507.24/946.66
  6. Step 6: Final answer
    x = 1,145.62

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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.