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Finding the Fourth Proportional to 683.61, 942.98 and 496.88

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Solution

The fourth proportional to 683.61, 942.98 and 496.88 is: 685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.61 : 942.98 = 496.88 : x
  2. Step 2: Convert to fraction form
    683.61/942.98 = 496.88/x
  3. Step 3: Cross multiply
    683.61x = 942.98 × 496.88
  4. Step 4: Simplify right side
    683.61x = 468,540.70
  5. Step 5: Solve for x
    x = 468,540.70/683.61
  6. Step 6: Final answer
    x = 685.39

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Double scale
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1.5x scale

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.