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Finding the Fourth Proportional to 683.62, 944.52 and 435.53

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Solution

The fourth proportional to 683.62, 944.52 and 435.53 is: 601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.62 : 944.52 = 435.53 : x
  2. Step 2: Convert to fraction form
    683.62/944.52 = 435.53/x
  3. Step 3: Cross multiply
    683.62x = 944.52 × 435.53
  4. Step 4: Simplify right side
    683.62x = 411,369.16
  5. Step 5: Solve for x
    x = 411,369.16/683.62
  6. Step 6: Final answer
    x = 601.75

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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.