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Finding the Fourth Proportional to 640.97, 962.60 and 589.52

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Solution

The fourth proportional to 640.97, 962.60 and 589.52 is: 885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.97 : 962.60 = 589.52 : x
  2. Step 2: Convert to fraction form
    640.97/962.60 = 589.52/x
  3. Step 3: Cross multiply
    640.97x = 962.60 × 589.52
  4. Step 4: Simplify right side
    640.97x = 567,464.19
  5. Step 5: Solve for x
    x = 567,464.19/640.97
  6. Step 6: Final answer
    x = 885.33

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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.