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Finding the Fourth Proportional to 966.56, 1,437.41 and 935.81

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Solution

The fourth proportional to 966.56, 1,437.41 and 935.81 is: 1,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.56 : 1,437.41 = 935.81 : x
  2. Step 2: Convert to fraction form
    966.56/1,437.41 = 935.81/x
  3. Step 3: Cross multiply
    966.56x = 1,437.41 × 935.81
  4. Step 4: Simplify right side
    966.56x = 1,345,142.65
  5. Step 5: Solve for x
    x = 1,345,142.65/966.56
  6. Step 6: Final answer
    x = 1,391.68

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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.