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Finding the Fourth Proportional to 687.40, 942.17 and 682.60

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Solution

The fourth proportional to 687.40, 942.17 and 682.60 is: 935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.40 : 942.17 = 682.60 : x
  2. Step 2: Convert to fraction form
    687.40/942.17 = 682.60/x
  3. Step 3: Cross multiply
    687.40x = 942.17 × 682.60
  4. Step 4: Simplify right side
    687.40x = 643,125.24
  5. Step 5: Solve for x
    x = 643,125.24/687.40
  6. Step 6: Final answer
    x = 935.59

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1.5x scale

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.