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Finding the Fourth Proportional to 683.89, 942.84 and 497.39

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Solution

The fourth proportional to 683.89, 942.84 and 497.39 is: 685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.89 : 942.84 = 497.39 : x
  2. Step 2: Convert to fraction form
    683.89/942.84 = 497.39/x
  3. Step 3: Cross multiply
    683.89x = 942.84 × 497.39
  4. Step 4: Simplify right side
    683.89x = 468,959.78
  5. Step 5: Solve for x
    x = 468,959.78/683.89
  6. Step 6: Final answer
    x = 685.72

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Half scale
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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.