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Finding the Fourth Proportional to 683.38, 942.76 and 462.25

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Solution

The fourth proportional to 683.38, 942.76 and 462.25 is: 637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.38 : 942.76 = 462.25 : x
  2. Step 2: Convert to fraction form
    683.38/942.76 = 462.25/x
  3. Step 3: Cross multiply
    683.38x = 942.76 × 462.25
  4. Step 4: Simplify right side
    683.38x = 435,790.81
  5. Step 5: Solve for x
    x = 435,790.81/683.38
  6. Step 6: Final answer
    x = 637.70

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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.