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Finding the Fourth Proportional to 683.69, 944.06 and 435.44

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Solution

The fourth proportional to 683.69, 944.06 and 435.44 is: 601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.69 : 944.06 = 435.44 : x
  2. Step 2: Convert to fraction form
    683.69/944.06 = 435.44/x
  3. Step 3: Cross multiply
    683.69x = 944.06 × 435.44
  4. Step 4: Simplify right side
    683.69x = 411,074.59
  5. Step 5: Solve for x
    x = 411,074.59/683.69
  6. Step 6: Final answer
    x = 601.26

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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.