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Finding the Fourth Proportional to 964.09, 1,436.17 and 935.04

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Solution

The fourth proportional to 964.09, 1,436.17 and 935.04 is: 1,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.09 : 1,436.17 = 935.04 : x
  2. Step 2: Convert to fraction form
    964.09/1,436.17 = 935.04/x
  3. Step 3: Cross multiply
    964.09x = 1,436.17 × 935.04
  4. Step 4: Simplify right side
    964.09x = 1,342,871.72
  5. Step 5: Solve for x
    x = 1,342,871.72/964.09
  6. Step 6: Final answer
    x = 1,392.89

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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.