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Finding the Fourth Proportional to 685.97, 1,022.44 and 646.03

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Solution

The fourth proportional to 685.97, 1,022.44 and 646.03 is: 962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.97 : 1,022.44 = 646.03 : x
  2. Step 2: Convert to fraction form
    685.97/1,022.44 = 646.03/x
  3. Step 3: Cross multiply
    685.97x = 1,022.44 × 646.03
  4. Step 4: Simplify right side
    685.97x = 660,522.04
  5. Step 5: Solve for x
    x = 660,522.04/685.97
  6. Step 6: Final answer
    x = 962.90

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1.5x scale

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.