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Finding the Fourth Proportional to 962.33, 1,328.61 and 697.65

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Solution

The fourth proportional to 962.33, 1,328.61 and 697.65 is: 963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.33 : 1,328.61 = 697.65 : x
  2. Step 2: Convert to fraction form
    962.33/1,328.61 = 697.65/x
  3. Step 3: Cross multiply
    962.33x = 1,328.61 × 697.65
  4. Step 4: Simplify right side
    962.33x = 926,902.40
  5. Step 5: Solve for x
    x = 926,902.40/962.33
  6. Step 6: Final answer
    x = 963.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.