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Finding the Fourth Proportional to 962.73, 1,320.39 and 923.04

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Solution

The fourth proportional to 962.73, 1,320.39 and 923.04 is: 1,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.73 : 1,320.39 = 923.04 : x
  2. Step 2: Convert to fraction form
    962.73/1,320.39 = 923.04/x
  3. Step 3: Cross multiply
    962.73x = 1,320.39 × 923.04
  4. Step 4: Simplify right side
    962.73x = 1,218,772.79
  5. Step 5: Solve for x
    x = 1,218,772.79/962.73
  6. Step 6: Final answer
    x = 1,265.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.